If I were you and had only $10 to play with... Personally I would play the Daily Dollar ($10K prizepool, usually around 7,500 entrants.. runs each day at 20:15 est). Also The Ferguson at 01:30 (it has a 15% payout structure.. usually Top 154 paid with field-size of between 900-1100 approx.).
For Sng's I'd play the $1.80 buyin 'SuperSatellite to the DoubleDeuce' where the Top 3 of 9 players get paid $5 (then 'unreg.' from the $5 satellite and keep the win in T$'s... then play it again).
Being that these have a flat payout structure there is a definite strategy to follow that is somewhat different from your typical Sng (ie. as 1st pays no more than 3rd). Many players in these make a ton of mistakes but generally you'll find the play a bit tighter than your typical $1 & $2 Sng on Fulltilt (which can be awful.. ie. early position 4x raises getting flat called by 3 or 4 players).
Another SatelliteSng that is very easy to beat is the MidnightMadness Satellite Sng ($3 buyin Top 2 win $11,.. 3rd gets $5). I've played these a bunch before and at one point cashed in 8 of 10 I'd played. I'm pretty sure I have a negative ROI in the $1 & $2 9plyr.-Sngs but in these M.M.Sat.Sng's it is probably ROI +50%+. They have some regulars in them but also many noobs and lots of players who way overplay their
hands.
Both of the above mentioned Sng's are 'Turbos'... so you really should be familiar with the format prior to playing (ie. in a Turbo Sng I play even tighter than usual in early levels... cuz basically you only get 1 or 2 shots at playing a hand.. ie. you raise preflop.. fire a c-bet and if you have to fold you're not going to be in the greatest of shape... so basically to compensate in these super micro turbos, I'm usually not entering a pot from early-mid. position unless I pretty much have a hand I figure I'm going to be able to go all the way with.
Try to maintain a decent enough stack as you approach late level (bubble play) so that you will have some fold
equity. Then you're in shove/fold mode, with biggest mistake being allowing yourself to get blinded out.
Another super micro buyin Sng that I've found I've actually been able to run with a positive ROI is the 6-plyr. Turbo Sng's.
Good Luck in whatever you do decide to play. It'll be tough to make a go with it on $10 but you never know. My first night on Fulltilt I took 2nd place in 'The Ferguson' and won $114 which was a nice bonus to get started out with (although I did have a couple hundred in my account as a first deposit... .found out later that even that wasn't enough to be rolled decently enough to play in decent games on Fulltilt..... the play in the micros is generally speaking - real bad... many, many players overvaluing their hands... making way too many stupid bluffs).