Tires for Jeep XJ with 3" lift

So I've run into some trouble with finding out the best tire size to get for my 2001 XJ limited. I'm planning on getting a 3" lift and new 31" tires. I want to get Cooper AT3's. I was looking at 245/75R16, which has a diameter of 30.51" and a width of 9.6", but I don't know if they will look too small. So what size would you recommend? By the way I have 16" rims.
245/75R16
Diameter: 30.51
Width: 9.6

Tires for Jeep XJ with 3" lift