Hey guys,
I applied OOS, graduated from Pitt (definitely not Ivy league!), with decent stats, and I was accepted this year (though I'm ultimately going somewhere else in the fall).
I encourage OOSers to apply...I don't know how I got in, but it is possible
One thing though, is to definitely make a serious effort on the secondaries. UCLA's is one of the more thought-provoking, if it's the same at last year's, and don't feel constrained by the standard 2-weeks turnaround. I spent a good 3.5 weeks on mine, and I really think my responses played a significant role in their decision to extend me an interview. Once you're at the interview, the playing field becomes a bit more level in terms of OOS/IS, so make your secondaries count!
Good luck