Howdy!
While I don't agree that the area around the school is dangerous, there are some less than classy hotels down here. I'd recommend the Holiday Inn Express on Seawall. It is just past Ferry road and about four blocks from campus. Here is the address and phone number (from their web site, I have no connection with them): 102 East Seawall Blvd, 409-766-7070.
I live right down the road from them. I stayed their when our electricity went out after the last storm (I don't handle broken AC very well).
Good luck with your interview. UTMB is a good school and the people here are very friendly.
Take care,
Jeff MS-III
UTMB