Do I have a chance at finding an internship in one of the big markets from a lower-tier University Program?

I'm a junior at the University of Houston in their computer science program with a 3.25 GPA and only very little personal projects, due to the time requirements of school (20 hours this semester)+ work + married life. However, I do have one small unique strength, and that is a 3.6 GPA with a Communications BS with a minor in business from Texas A&M. But I recently attended my school's career fair, and the only companies interested in UofH graduates are all either local to HOUSTON (no Austin companies even, and I hear the Austin intern market isn't great to being with). So it seems the companies I'd want to work for either don't know of my school's existence or think the program is shit.

So basically am I screwed, is there a way to overcome this, or is it not as bit of a problem as I think it is in my head?