First, for that size tire, I strongly recommend a 15x8 wheel and not a 15x10. If you offroad, a 15x8 wheel will make it easier for an aired down tire to remain seated and air tight than it could on a 15x10 wheel.
And while the 3 5/16" backspacing of the 15x8 Mickey Thompson will work, your tires won't rub at all, that's not much backspacing and your tires will protrude way out of the wheelwell. That isn't good for a few reasons... less trail clearance, increased scrub radius (the tire scrubs an arc when you turn the steering wheel instead of pivoting about a point on the ground), and it's harder on the wheel bearings.
I really (!) like the styling of Mickey Thompson's wheels but I won't buy them due to the small amount of backspacing they have on 15x8 wheels. That's why I ended up going with American Racing this last go-around, they at least had 3.75" of backspacing. Ideally, I believe 3.75 to 4.25" or even 4.5" of backspacing to be ideal for a 33x12.50 or 35x12.50 size tire.