Could be expensive, but with a full size truck may not. It is probably the 'blend door' system in the HVAC unit, usually buried in the dash.
Had a similar problem with our 04 Accord, drivers side would always blow hot air 100degrees F, and passengers side would blow the cool air conditioned air, not pleasant in the summer. Talked to our trusted repair shop, 12-14 hours labour plus parts. They were working on a Dodge minivan, had a Ford Taurus waiting for similar problems. They have to remove the complete dashboard in all the cars to get to the blend system in the HVAC. I also checked with the Honda dealer, they said is not an uncommon problem, repair cost is $1495, we do them regularly.
Beverley and Ken