San Antonio already started interviews in August, for the lucky few that got the interview invites.
Also Ut Houston is the one that starts in October as well as Baylor in Dallas. Baylor i think starts in september .
As far as out state, your stats have to be pretty impressive for them to consider out of staters. There are way to many instate residents that want to go to there schools for them to consider an out stater before an instate resident. something like 95% in state and 5% outstate ratio.
Not that they wouldn't want you, but they want to keep texans in texas.
good luck