Depends on the program. EVMS, Cinn, Gtown will have full classes by April, and you'd be trying to get a waitlist spot then. Which could work out. Each SMP "loses" a pile of acceptances when those folks get a late MD/DO acceptance. There's a big changeup after May 15, which is when folks who have more than one MD acceptance have to decline all but one. (Such problems I wish I'd had.)
Take a look at the SMP-specific threads in this forum, basically live theatre, where everybody's losing their minds over who is getting in with what stats by submitting how early. Multiply that traffic by about 100, and that's the app pool activity. You can see what happened in previous years at programs you're interested in.
Best of luck to you.