Been thinking a bit more about some college possibilities for your kid.
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U. at Buffalo (NY): About 21k undergrads. Offers through a doctorate in both math and classics. They’re seeking to attract more out-of-state students, and so your son may be offered sufficient merit aid here to make it affordable.
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U. of Rochester (NY): About 6800 undergrads. Offers through a doctorate in math and a bachelor’s in classics. There are very minimal distribution requirements (it’s a fairly open curriculum). Your son’s chances would probably be best with an ED or ED2 application, but it would hit a lot of what you’re asking for.
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U. of Texas – Dallas: About 22k undergrads. Offers through a PhD in math, but no Latin minor is available. If your son gets a scholarship (Academic Excellence Scholarship) then he would automatically qualify for in-state tuition, which means tuition, room & board would be less than $30k (source). UTD brings a lot of strong students to campus with its National Merit Finalist offer, and it is reported as having a more academic vibe on campus. Since Dallas is a major hub, it should be pretty easy to get direct flights home.
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Iowa State: About 25k undergrads. Offers through a PhD in math and a bachelor’s in classics. They use weighted GPAs for scholarships, so your son would be eligible for $12k/year in scholarship money, leaving tuition, room & board around $26k/year (source).
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U. of Houston: About 38k undergrads. Offers through a PhD in math and major in classical studies. If you receive a scholarship of $1k or more from the U. of Houston, your son may also qualify for in-state tuition. This means that costs would be about $21k/year, but even if your son doesn’t get in-state tuition, costs are around $33k/year. Houston is another big airport hub, so flights home should be easy.