Arriving late to this thread (my first post in over a month!), but at least that gives me the opportunity to comment on a few things.
Aim high. Many (if not most) classics programs focus their resources on elementary and intermediate Greek and Latin, classical civ courses, and lit-in-translation courses. You’re coming in at a reasonably high level, especially since very few freshmen have already had some Greek.
Haverford, with its access to Penn and especially Bryn Mawr – hands down the best classics program of any LAC, though not the powerhouse it was a decade or two ago – is the one LAC I would recommend to you. The Claremont consortium may work as well, particularly Pomona.
I really like most of your list with the exception of Georgetown. Its classics program is not particularly notable, and the prevailing campus climate does not mesh well with what you’ve said you’re looking for. Unless you’re dying to be in a big city, consider swapping Georgetown out for a place like Duke, which has a greater focus on the liberal arts and a far stronger classics program.
Great decision. Note that you can only apply to Oxford or Cambridge (not both), so pick carefully. Oxford has traditionally been a lot more friendly toward American students, and its classics program is widely considered to be the best in the world by a fair margin.
In addition to collegemom3717’s suggestion of Durham, there’s also UCL, King’s, Royal Holloway, Edinburgh, Exeter, Bristol, Birmingham…etc.
If your Italian is as good as you say, check out La Sapienza and maybe some other universities in Italy – tuition is incredibly low.
I couldn’t agree more with the suggestions of Toronto and UBC. I would replace Queens with U Alberta and/or U Western Ontario…though I think the OP can do better with those stats.
The program is a step or two down from the big leagues, certainly, but one could do much worse. Additionally, Hopkins is a powerhouse for related fields of ancient studies (biblical studies, Semitics, Assyriology, Egyptology, archaeology, etc.).
Cornell has a superb classics program, with a nice balance between philology and archaeology. Along with UCLA and Harvard, it’s also one of the three hotspots for Indo-European linguistics in the US. It’d be a fantastic option for you.
NYU is an obvious omission. It fits nearly all of your criteria and is far stronger in ancient studies than most of the schools mentioned in prior posts. It’s one of the very few schools that’s actively been expanding its offerings, in fact.
Consider Princeton. Your list will be top-heavy, but that’s okay if you have some good matches and safeties. Linguistics at Columbia has been pretty meh, but for classics it’s excellent. The Core may appeal to you.
I like the suggestion of Tufts a lot. Brandeis, Case, and BU are also pretty good suggestions. Along similar lines, look into William & Mary.
UT Austin is fantastic, and it’s especially great for studying Greek philology and linguistics, but it is extremely selective for OOS students, and it’s warmer than you’re looking for.
There’s many more good classics programs out there (Arizona, Tulane, Emory, UNC, UGA, UVA, etc.), but I’m not sure they’d meet a lot of your other criteria.