The NET bible would by my seminary study bible of choice. It is not theological but exegetical. It would help you in your greek and hebrew classes.
And the profs I have in sem (SEBTS) use their GNT and BHS (but I'm not taking theology classes only bib stud classes so that might vary). Sometimes I've seen diaglots used. So I would also recommend either the NET/NA27 or the ESV/NA28 and ESV/BHS. Or you could go the readers Greek/Hebrew Bible. I have enjoyed that for church and morning devos.
You're allowed to use study bibles in class?