Hypothetical Heads Up Gambling Situation

[Nichomacheo]

I was playing live today and I was thinking of offering my buddy this deal.

For $200, I will play this game with you:

We both get dealt two preflop cards. I will call your all in at any point preflop. You either go all in or fold. If you fold, we do this again, for ten total times. On the tenth hand, if you havent gone all in preflop, you are forced to play whatever hand you get.

If you are my buddy, what hand are you looking for preflop and how long do you wait to get it?

Have fun.
Nichomacheo