Larger tires for my lift

[absentminded102]

I own a 1995 extended cab 4x4 Ranger and wrapping up a 5.0L swap on it. I installed a 3 inch body lift and plan on leveling the front with coil spacers soon probably. Now the stock tires just look too small. I'm wondering what is the largest tire I can put on a 15, or 16 inch rim without it rubbing.

 

[Elutheros]

My 1992 with a 3" BL and fender cutouts has 33s with no problem.