Showing off new vintage retro TT! + Advice on tow vehicle?

IMHO, you are not talking about any truck heavy enough to to that trailer. By the time you get living stuff in it you are looking at 3500-4000 lbs or more. To haul that much weight, you likely will need at least a class 3 truck.
Now before everybody gets their panties in a wad about a class 1 tow rating, check the manual. I bet every one limits the weight of a trailer without brakes to the payload of the truck or less.