I know it is a lot more money, but why not go with a 19.5 setup? There are setups out there that will bolt right to your truck. You won't get the wider tires, but that's what your other truck is for. You will get a much longer lasting, safer, and better handling tire. And on a tow rig, I think they look great.
'02 F-350 "Babe The Big Blue Truck" 4x4, Ext. Cab, 8' bed, SRW
DP-Tuner 80T, 160cc single shots, GTP38R turbo, Ceramic coated IH up-pipes, coolant filter, 6637, DIY exhaust brake, openair CCV, propane, SBC DD all ceramic clutch, ISSPRO EV boost/pyro/HPOP pres./rear end temp, 4" lift, traction bars, 255/70R22.5 tires, York air compressor, 16 flashy lights, 12 strobes, 12 switches on console, 9 switches on the dash, 7 two-way radios, 5 air horns, laptop, siren, 105 gal. in-bed fuel tank, Kennesaw Mountain front bumper
'86 H-D Sportster - 16" apes, custom paint, custom pipes to fishtails, single fire ignition, leather saddle bags on custom brackets, bagger fender, solo seat, home made luggage rack, all LED rear lights
'66 Bronco "Big Little Monster"