I'm glad I don't live in the US. Here in England we can gamble on ANYTHING so long as the government get their tax (although there's no gaming tax on winnings anymore!)
Anyway, your best bet with this $10 if you want it to last is to play the smallest SnG's they have or the lowest buy in ring game (0.01/0.02c with a $2 buy-in?) and play ultra tight until you've at least tripled this bankroll.
I assume you intend on finding a way of depositing? You will need to, as most poker sites
dont let you cash out until you have...even if you ran this $10 up to $10,000 you wouldn't be able to get any of it.
Personally, I'd find where your strengths lie on that particular site, and make sure you eventually deposit enough that you're rolled for your choice of game. Maybe it'll be $2 SnG's or $5 ring, just use your free cash to feel the site out then make a deposit to make a good run at those stakes. Its very rare that a player makes a bankroll out of $10.
Very good luck to you.