Ok folks so I'm a little bored and trying to think about what my "goal" is as far as a jeep setup, so humor me

I made this comment in a similar thread but decided to make a different post about it just to get more input from others that may not read all the way through that one.
Lets say there was a competition, and the goal was to be able to travel through the deepest snow possible. The limitations of this "competiton" would be this:
1) The base platform you would begin with is a TJ.
2) the actual body of the vehicle (for arguments sake lets say the lower door sill, but any part of the body would work) cannot be raised more than 3" from stock height.
3) the vehicle needs to be road legal, so fenders, etc still need to be present in some form.
4) the vehicle needs to look fairly factory, I.E. no sawzalling the hell out of everything in the back, or just completely taking off the fenders all together. That would be cheating.
5) the vehicle must use tires, not tracks.
So lets say you were going to enter into this "competition".... how would you set up your jeep? Would you use your 3" by going with the biggest tires you can, or would you run smaller tires and do a small suspension lift?
I'm interested to see some responses from everyone - thanks for playing along
