First I would wiggle the plug some with someone watching the turn signal. If you get any response while doing this, you know it's an issue with the connection.
If you know how to use a tester, that would be my next step on the truck. If it tests okay, you know you've got a trailer wiring issue. If you don't know how to use the tester or it fails the test, I'd open the manual, find the fuses for the trailer lights, and start inspecting them.
Good luck. Trailer lights are a simple thing but I've been down this same road as you and you can spend a lot of time diagnosing and fixing temperamental trailer lights.