Working with a friend on putting together a Jeep toter trailer. It's currently on two 3500 pound axles running 175/80-13 wheels. Verified by measuring spindle size, looking up bearings and comparing to another known 3500 pound axle. They are legitimate trailer tires but only rated for 1300 pounds each. 2 are brand new, 2 are original. All four will have to get replaced as the new ones won't be up to the Jeep and the weight of the trailer.
I could step up to 14s or 15s - the hub and brakes are supposed to be compatible with 14 or 15'' wheels. However, I know I won't have a 1 ton truck forever. It's very likely that my F350 will be replaced by a 2020 ranger somewhere around 2023 or 2024 depending on reliability. We're trying to keep weight and COG low so I'd really like to stick with the 13s.
I'm finding a few different higher capacity options on etrailer. Both Load Range E.
Radial Tire, 1650 pounds https://www.etrailer.com/Tires-and-Wheels/Kenda/AM10210.html
Bias Tire: 1710 pounds https://www.etrailer.com/Tires-and-Wheels/Kenda/AM1ST79.html ... these are a slightly larger tire.
The Bias tires will have 200 more pounds of fudge factor and will be running at less capacity all the time. They will also handle a lot of the crappy gravel roads and trails I'll be dragging it up now and then. However, I do tow 200+ miles occasionally and they will be subject to 200+ miles at 65 MPH. That does concern me as bias tires tend to run hot.
Radials will handle the longer trips better, tow nicer (they tend to not sway as bad). However, they have a lower load rating and the tires themselves are weaker.