Sounds fun, only after a few too many beers though, and certainly not for money. I'd rather play roulette if I was feeling just "lucky" since that pays 35 to 1 when you hit.
It seems like it would take a lot of the "play" factor out of the game of HE, and base your action almost entirely on what cards you catch in the hole. Reminds me of some of the poker varients we used to play in high school, like "roll your own" and "baseball" where your hand is pre-determined before you even ante up.
