'05+ trucks with factory 20" wheels can go 35" tall no sweat, the OE tire is like 34.4". Personally I would find the tire style you like and run the OE size, a 35" tire will cost a lot more and won't gain enough to justify the cost. Anything over 35x12.5-20 will rub the radius arm pretty good, you really need an aftermarket when with the correct offset/back spacing to run a 36" or taller tire. You'll also need to raise the nose a bit if you go over 35s, like 4-6" for 35s-37s, 6-8" for 36s-38s. And of course it all depends on what you plan to use it for.
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