Hey
I recently switch from a 265/75/16 AT's (31.7" when checked, I don't remember who's) and went to a 235/85/16 (32") Hankook Dynapro M/T's mounted on the same rims. I have not noticed a difference in mileage (still sucks) but I did notice a slight bit more noise (to be expected) but handling, braking, is better and so is the ride (firmer) and these are rated E; instead of D, which gains me load carrying capacity. It also seems to have better git up and go from a dead stop, I suspect less rolling resistance due to narrower size. So far I like these tires and was glad I made the size change.
P.S. Some years ago I went from a 33/12.5/15 BFG M/T to a 33/12.5/15 BFG A/T on a Suburban w/ a 350 and gained 2 MPG.