I hope I'm not too late for you Daxton. I would test your CAT5 length before running any wiring. HDMI extenders have a length limit depending on cable used. To be safe, I would recommend running CAT6. Reason being is it has better shielding and provides a better signal. I had trouble in my house running a 60ft CAT5e HDMI extender. CAT6 solved it.
2010 GMC Sierra 4x4, Crew Cab, Short box, 4.8L V8
Travel Trailer TBD !