Merci,
I won $13 last summer in a freeroll and slowly turned it into a roll that I'm now living off of. Keyword: slowly. I bought into penny stakes NL tables with $5, and the goal was to double up and then get off the table. Brought it up to 18, 26..... 55..... 100, and then split my bankroll into two sites. I'd play the small ring games on one site, and started experimenting with the sit n go's on the other site. By the end of the summer I had it up to $500 or so entering my last year of college. I slowly moved up stakes when I had time throughout the school year and turned that 500 into thousands and built enough of a stake to start me off playing professionally.
So my advice, you like limit more than NL? Play some micro-limit games. Buy in with a few bucks, get it to 6, and get off the table. Keep doing this, and resign yourself to not moving up stakes til your bankroll can absolutely support it and you are ready. If you are intent on making this $10 last I would not recommend buying into a $5+.50 sng until you have at least $100 or a $2 sng until you have at least 40, and even then make sure you are comfortable with tournament play before you risk any of your precious bankroll.
Also, lose the mentality "I'm hoping to make a living playing high stakes limit poker." If you love poker and are good at it and confident you can handle the lifestyle of playing for a living, then give it a shot. But have you ever played high stakes limit? What makes you so sure this is what you want? When I started playing online last summer I thought NL-ring was my game, and now I play mostly tournaments and when I do play ring it's almost always limit. So you gotta be open-minded to where you're having the most success. Maybe you'll turn out to be a great limit player and will be playing high-stakes limit games in a few years, but for now just focus on figuring out what your best game is and what stakes you and your bankroll can handle.
If you wanna give me your email or screen name I'd be happy to talk more with you. Best of luck.