U. Florida DL MA and PhD in Classics

http://grove.ufl.edu/~hmueller/distance/

Apparently this is aimed at people already employed as teachers (K-12 through college), and only charges them in-state Florida tuition no matter where they are. That's currently $188.33/unit.

The masters program is an MA in Latin. It can be done with or without attendance at two-week long summer institutes, but takes longer without them. There's both a thesis and a non-thesis option.

http://www.clas.ufl.edu/users/hfom/distgraddir/distancema.htm

The Ph.D. program has two options within Classics: Latin and Roman Studies, and Classical Civilizations. It seems to only require physical presence at the two-week long summer institutes. There's an oral defense, but it looks like it can be done during the summer. Here's the details:

http://www.clas.ufl.edu/users/hfom/distgraddir/distancephd.htm