you could always look into a weapons based system like Escrima/Kali.
If you can hold a stick, you can do that, not much punching.
In non-competetive (bare knuckle) fights, it is VERY easy to break your hand/fingers when punching someone in the head. That is why accuracy, and proper landing is so important. However, a palm smash to the nose or chin is as effective as a punch, and an eye gouge or chop to the neck can also be used with success, all without making a fist.
Look into Aikido, which can be good, and does not use many fist strikes at all.
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