Read this entire thread and you'll know all the possibilities.
http://www.cuda-challenger.com/cc/index.php?topic=19470.0But I think the largest, at least the most common "Biggest tires" (with stock 4.5" backspacing) are 275/60/15s on the back, (although some say they can get 295/60/15s on there), and 245/60/15s on the front.
It does change some when you go with different size rims. But basically just use this handy "tire size comparer" ,shown below, and see what fits within the confines of the above named "standard" big tires.
On 17" rims, it looks to me like you can get 275/40/17s on both the front and back. You may be able to get bigger on the back, but you'd have to compare to the 60/15 dimensions to be sure.
http://www.bigcustomwheels.com/rt_specs.jspAlthough personally I wouldn't go with anything shorter then a 45 or the tires will look way to small for the wheelwells. You'll have to lower your car a lot to get it to look right.
Move your springs in a little and you can get a Lot more tire on the rear. Dr. Diffs bolt-on, 1.5", spring relocation kit will allow you to get at least a 315 in the back with the correct backspacing.
http://www.doctordiff.com/Good luck,
Chris