I have a 93 Ranger with a 3" lift and i want new tires. I want to go as big as possible with no rubbing. what can i go bigger than 31 X 10.5? Also are the BFGs the best tire out there for my truck. Thanks.

My 93 came with 31s as a stock option. The largest size you can fit depends on if you will use it offroad or not , and if you will keep your sway bar connected or not. I have a 3" body lift and a 2 1/2" suspension lift, and I run 33s offroad with the slightest amount of rubbing under extreme articulation. However, after some moderate fender trimming on the front wheel openings, I can run 37s on the street and light offroading.
And yes, I think BFGs are the best tire out there. I've run them since 1979.