Just for reference, I was selected as an alternate for RSI last year. Here are my stats:
http://talk.collegeconfidential.com/what-my-chances/2100728-chance-me-for-top-cs-schools.html#latest
I would think you have a shot, but as stated above, you probably need some type of award. Research under professors is surprisingly easy to find. It’s whether the research is of any use.