Eukleia

I'm currently in a funded MA (philology) and I came in with 8 years of Latin, 4 years of Greek. I think you should apply to MA programs anyways (I believe archaeologists can get away with less language in general (you still have to take the exams though), and for Bronze Age Aegean stuff, modern languages and Linear B (which i don't think any grad school expects a first year to know coming in) are probably going to be more useful to you than attic Greek and Latin anyways). However I would also apply to post-baccs just in case. My program says language deficiencies can be made up first year, so shoot your shot, but like ctbnj said, you might look weaker as a candidate for admission because lots of people will have more language than you do and that unfortunately still matters a lot. So I would have a back up plan of a post-bacc.