Hilarious as low int is, it would probably neuter the LP and not show the game's ridiculous scope off so well.

Agility, Strength, Endurance. Tag Unarmed, Doctor, and Outdoorsman. Take weird random encounters out with your bare hands. Chem Reliant and... hmmm, Heavy Handed?

Basically make someone who can punch a Super Mutant so hard it explodes.