You cannot just change the hitch. Your half ton tow rating does not apply to RVing. Receiver, rear axle, payload, GVWR, etc. You have to stay under all of them, which means you get the lowest
A half ton towing a 10k dry 40' TT with 1365 pounds of dry tongue weight? Start by reading what others have towed with their Tundras or other similar capable half tons. 10k pound boat, maybe. 10k pound RV? Not so much! RVs are the most difficult type of trailer to tow. They have larger than average tongue weight and highest aerodynamic drag. They are big boxes filled with mostly air.
I think your idea has merit, but you need to tow with a lot more capable truck. So consider how much upgrading one of your trucks is, plus a $20k-$50k "home" plus campsite fees.
People should RV because they want to, they like the lifestyle. It will rarely "save money" over other types of vacationing and living.
