Depending on what kind of involvement you want in media, Georgia Tech does have some related majors: computational media; literature, media, and communications; and minors in film and media studies and some other areas related to media. No theater, though, so not in the traditional sense (although there is a performance studies minor).
What makes you stand out to employers is not so much the name of the college on your resume, but what you did in college. Georgia State being located in Atlanta might give you the opportunity to intern at one of Atlanta’s many historic theaters, or in Atlanta’s burgeoning media arts scene, during the school year in addition to the summer. Georgia State also has lots of majors that might interest you - media entrepreneurship, computer information systems, managerial science, and film and media science. Georgia State now has a Creative Media Industries Institute, likely as a byproduct of the new-ish Atlanta media arts scene.
It sounds to me like you want to go to GSU but you’re nervous because you think UGA and Georgia Tech are seen as more prestigious. I wouldn’t be. I grew up outside Atlanta and I have a lot of friends who went to Georgia State. They’re all gainfully employed in careers they like.