AT tires on a TT seems really silly to me. You will increase the tire friction, road noise, and gravel being thrown into the trailer. You might increase braking on other than hard surfaces.
With a 1/2 ton payload is an issue and your choices are limited.
For a 1/2 ton with a heavy payload package with a 6 ft bed is limited to an F150 XL or XLT super crew with Max payload and Trailer packages or the Silverado/Sierra with at least LT or SLE trim and the max trailer package. Ram doesn’t offer a heavy payload package. The F150 is more capable than the GM models.
Both the Ford and GM need to be ordered.
Honestly, I have never seen a pick up in a weigh station. The normal requirements are a commercial vehicle with a gross weight over 10,000# or a combined truck and trailer weight over 25,000#.
My last 2 caps were Leer. After 13 years and 150,000 miles it was evident the Cap would last as long as the truck.
Highly recommend the bed rug and the Leer cap option to match.
12” wider, 4 ft longer, elevated 36x80 twin beds with drawer storage, dry bath, Truma Combi comfort plus, 800 watts of solar panels,, 600 AH lithium’s, 50 fall fresh water, a hitch carrier rated for 250#. In case someone is listening.
The 4WD Silverado 5.3L, extended cab in an LT package with max towing and without other options will have a payload tad more than 2000#.
The F150 XLT regular, Crew cab or super crew with 8 ft bed allow the max tow and max payload options. Once you go beyond XLT trim or opt out of an 8 ft bed you cannot get max payload option.