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I think 245/70 is the largest without a lift.
check out this tire size calculator:
http://www.jeepkj.com/forum/showthread.php?t=26358
You need a lift to run any tire over 29.5" tall.Aftermarket rims make it worse.The biggest you can go if you have the OEM 16" rim is 245/70R16(may or may not have rub) and 245/65R17 if you have the 17" rim.You wouldn't be able to to turn with a 31" tire on a stock '03 with the major coil sag going on.well the carts say i can put a 31 on it