When I lived a few miles from UTSA campus, I was a member of the
San Antonio alumnae group.
Many of the women in that group are UT alumnae, and they're always welcome to meeting women who are interested in sorority life. Check similar pages for the other groups; you may know some of the women who are members.
Many of the women participate in the San Antonio Panhellenic information event, too. It's been years, my daughter wasn't interested, and I never learned about competitive rushes, so I didn't pay much attention, but I know that events are held there in the Spring.