@TheResidentAlien, you might add Hebrew Union College (Cincinnati) to your list. They have a tuition-funded M.A. program (or at least have in years past), and the program is very text-intensive, so you'll get to work on your languages. No stipend, but Cincinnati is very affordable, so it's not too crazy to work PT. HUC is a Reform Jewish seminary, but the graduate program is totally secular academic-oriented, i.e. no pastoral/ministry classes.
The only hitch is you at least need some Hebrew coming in, even for the M.A. I've seen people do it with a couple semesters of biblical Hebrew, maybe more. So if you're open to working through a grammar or getting a tutor first, it might be a good option. It's at least worth inquiring now to see what their requirements are; the worst they'll do is say no!
For other languages, like Greek and Aramaic, many people have them coming in, but I don't think it's required for the core classes. They do offer an introductory Aramaic sequence every other year or so. HUC also has a consortium agreement with the University of Cincinnati (a 10-minute walk), so you can take any classes there free of charge. This is useful because UC has a phenomenal classics department -- you would be covered for Greek and Latin.
Hope this helps, feel free to PM with any questions.