Not sure about the TX schools since I didn't apply there, but a buddy of mine has interviewed both at Baylor and Houston, but hasn't heard anything back from San Antonio yet. He had amazing stats as well. I think you're OK.
the schools will probably get your application in like a week or maybe less...but to know when you will be asked for interviews?...it might take a while... i applied back in july and just now heard from them this month....but they should send you some confirmation emails in a couple of weeks...they're really bogged down... i emailed them to ask about my application and it took a week just to get a response....hang in there...
-ld