Unfortunately, ActtBadd, the new Amazon Prime Video channel update could continue to conflict with your TV until Amazon fully resolves this issue with it. And every time Amazon creates a patch to fix a Roku, which isn't shown as an update anywhere, this too can cause another issue with your TV. People have asked me what I mean by update because they don't see that their Roku has updated.
I didn't use one of my Roku devices for a long while, yet once it was booted, all the channels had been updated. I looked to see if my Roku showed that an update had recently happened, and there was no indicator it had been updated. I tried to manually update, but since all the channels were already up to date, they didn't update again. So Roku and its various channels must download updates and patches without our knowledge until something goes wrong. This can happen either when the Roku restarts, boots up, or when it's on the screensaver. This is why I never unplug a Roku device when it's on the screensaver and always make sure it's on the home screen first, so I don't mess it up in the event it's installing an update.
Unfortunately, Roku will have these issues from time to time with various channels that have problematic updates. And it's not just Roku this happens to because I've heard that someone who has a Fire TV stick also had a similar issue after Disney Plus had updated, which crashed the device during a movie/show and sent people back to the home screen, which has now been resolved on all devices. That wasn't a cache issue but an update issue since no one could do anything to resolve it till Disney patched their channel. This is what had happened at first, according to the OP, since everything was tried and nothing worked. But now it appears patches have rolled out since I haven't had any of these issues. You'll know it's a cache issue when clearing the cache, restarting, or unplugging the device fixes your Roku. After Amazon finishes patching its channel, once all issues are resolved, your TV should no longer have any of these channel crashing problems. If you continue to have these issues because clearing the cache, restarting the Roku, or unplugging the Roku isn't working for you, you can contact Amazon, especially if you're paying for their Prime service/channel, and hopefully, they'll help you resolve it, much like they did with PKinVA's TV.
I also have Showtime, but I use the Showtime Anytime channel since I get it through Hulu as they currently have a discount deal for a few months. To keep this on topic, I've also subscribed to Showtime through Amazon channels in the past since I got that 99-cent student deal for a year and also used Showtime Anytime with them when I had issues. Since this post is about Amazon, I'm guessing that you, ActtBadd, used to watch Showtime through the Prime Video channel, but with the crashing issues, you're using Showtime Anytime.
After a certain amount of time, right in the middle of a movie, Showtime Anytime logs me out and asks me to verify the channel, which never works, so I then have to re-activate the channel on my Roku. It did this when I subscribed both to Hulu and Amazon channels. It does this because I could have canceled my subscription to Showtime through either of them, and my billing cycle could have ended at any time during the month. Since Showtime Anytime wouldn't know that since they're a separate channel from Amazon and Hulu, Showtime Anytime logs everyone off after a certain time duration to make sure they are still subscribers to Amazon channels or Hulu, so I don't continue to get free service for the rest of the month after my billing cycle and subscription ends near the beginning of the month. I never had that issue when I had the Showtime channel when subscribing to Showtime.com directly, which could resolve this for you unless you like Showtime through Amazon channels and don't wish to change over since then you wouldn't have all the live channels you get through Amazon channels. Showtime.com only has their East and West live feeds, much like Showtime Anytime. I felt like I was losing money by paying the same because I didn't have all the live feeds that both Amazon channels and Hulu have.
To solve this, which isn't all that great of a solution, but at least your movie/show isn't interrupted: at the end of the duration (you said this happens weekly -- I don't watch Showtime all that much to know when it logs me out), log yourself out of all devices on your Showtime Anytime App and then log back in and reactivate the Showtime Anytime channel on the Roku before the week is done. If you want, set a reminder on your watch, phone, tablet, or computer to remind you to do this. I try to remember to log myself out and then back in before I watch Showtime Anytime if I hadn't been on that channel for a while to avoid this issue. I know I don't do this with my phone every week because I download movies and shows off of Showtime, and they remain on my phone for a while until it's logged out. I try to remember to log out before downloading anything new to prevent this, but that doesn't always work. Unfortunately, this auto-logging out the user isn't a glitch, so this issue with Showtime Anytime will never be resolved. People don't like it, but that's how it is until the programmers at Showtime figure out a better way to know you're a current subscriber to their channel. All they know is that you logged in through your Amazon Prime credentials and created a profile with them, but once you've logged in, Showtime Anytime no longer is able to have a current update of those credentials until you re-log in again to show your current Amazon Prime account's credentials to Showtime. The only way for you to do that is if they had logged you out.
And you can read my non-pretty workarounds (if you haven't already done so) in the post above, but I thought of something that I didn't mention in that post that could be problematic. I'm not sure how different a Roku stick's remote control is to a Roku TV's remote control because if one tries to plug in a Roku device into a Roku TV because Amazon works on all my Roku devices and so this may sound like a temporary practical workaround -- the remote might conflict by trying to use both your TV and Roku device at the same time. To resolve this, you could use your phone or tablet as your Roku remote since that is Roku-specific. But the other non-pretty workarounds may instead work for you in a pinch, so you can at least watch the premium channel you're paying for until the issue is fixed on your TV. Glancing back at the OP's post, at that time, this person's Roku Express was crashing with Amazon, and nothing could be done to fix it, but I was able to use my older Roku Express plus and press play, and it didn't crash. Perhaps it's because I have a different Roku express than CSB2 has, but I think Amazon has been patching the devices, and perhaps your TV model is still having issues because it's one of the last models to be fully patched.