biggest tire fit?

[MUDDING B-3000]

i got a 94 b3000 3" lift and i was wondering what are the biggest tires i can fit with out rubbing ? i got 31x10.5 on it now with stock rims which have no offset and they dont rub, but im getting the cheap american racing rims that look like winter rims, they are offset so what size tire could i fit with those rims and not rub?

 

[Ranger44]

I'd say a 32" without to much rubbing.

 

[red85]

I've run 33's w/o a problem. The 3" lift will give you enough clearance. Interested in getting rid of those 31x10.5's?