Well, as it stands now, you could get to pro, have a 70+ average, play only matchplay games, get really good from those white tees, beat every master and pro you play, amass a stockpile a credits, feel confident you can beat anyone....
and still have a 70+ stroke play average!
So no, an automatic handicap isn't the best way to go. (At least as long as it it based solely on stroke play average)
Agreeing to odds between the players sounds like a better plan. Instead of a plan like A.Lee's, which throws more credits into the pot, why not lets one player give strokes to the other?....
So let's say I'm playing A.Lee, who will crush me 9.5 times out of 10 (we might tie once LMAO) But we agree that he has to beat me by 2 strokes.... If he only wins by 1, I take the pot. The wager and the Rake are otherwise the same.
This might be better suited for stroke play however (would be fun to have your eagles and double bogeys really matter!)