Robert1299-
There is no WiFi receiver in your Streaming Stick -- it's in that bulge in the USB cord. If the USB cord with long range WiFi receiver is broken, you have no WiFi. The Streaming Stick MUST have WiFi, both to connect to the local network, and to communicate with its remote. There is no work around.
Replacements are available directly from Roku for $20, but probably can't get to you in time to use on your vacation.
Replacement WiFi cord for Streaming Stick 3810 and 3811
Replacement WiFi cord for Streaming Stick 3820 and 3821
You might be better off in the short run to find a Wal-Mart, Target, etc. and just purchase a Express 4K (I know the bottom of the line Express is cheaper, but it is far inferior) to get you back in business on your vacation, and worry about a replacement WiFi receiver cord for your Streaming Stick when you get home. You'd also then have another Roku to use on a second tv, or at least a backup in case of problems. Warranty claim instructions: https://support.roku.com/article/208757058