They should fit, i'm running 315/75/16s atm, but another key thing to pay attention to is your rims, if you are changing rims the offset and backspacing need to be looked at as well as the width of the rim. if you are using the same rims, than it is really pretty smple to tell if a bigger size will fit. take some measurements. Since you are running 33/12.5/17 right now and just want to increase the height to 35/12.5/17s than all you need to do is measure one inch all the way along your current tires and see if anything will interfere. do this with the wheels turned all the way in both directions, measure out 1 inch from the top center of the tire, and than on the top of either side. this will tell you where you might expect rubbing, or where you might run into an issue. keep in mind, 315/70/17s are really 34.5" tires, not 35". so if you get tires that are metric, thats just something to know. but since my truck has a 4" lift, and i am running 35/12.5s right now, if your truck has 4-4.5"s of lift, you should be fine.
