Your full question is too big for me; but, I see that you are including Charlotte and Austin. You could fit New Orleans as a stop between those two and thereby fit in Tulane and UNO, and maybe Xavier.
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I don't have the answers for everything but I can offer the ones for my neck of the woods in western New York. I'm also going to assume mostly "mainstream" schools

I also found http://www.multiplotr.com which lets you plug in multple locations into a custom google map - you need an account to save maps but I'll post the code you need to generate a map with the school locations relitive to the airport.

In Syracuse, University of Syracuse is probably a must-stop (they've got the big NCAA sports teams). If you have the time and means to drive a little you should also considder hitting up Cornell University in Ithaca NY, which is under 2 hours driving. I don't know anything about Onendaga Community College but it might not hurt to look into it.

map code:
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~43.0357908, -76.1297734|Syracuse University|Red|Colleges
~43.0016274, -76.1945777|Onondaga Community College|Red|Colleges
~42.453946, -76.48421|Cornell University|Red|Colleges
~43.1136233, -76.1181962|Syracuse Airport|Blue|Airport
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In Rochester you have probably more choices. Rochester Institute of Technology and University of Rochester are the bigger private schools and Monroe Community College is also sizable enough to be worth visiting, a lot of 2+2 program students go on to other schools from there. Oh, and SUNY Brockport, which is just a bit further out than the others but technicaly a suburb of Rochester. Nazereth College and St John Fisher College are sizeable private schools, though as the name suggests they're the ones with a religous bent; I don't know your marketing plan so I leave that in the air for you. SUNY Geneseo is more rural but sizeable and only about 30 minutes driving. Alfred State and SUNY Alfred are two hours in the same direction but probably not as worth the extra time as much as Cornell with its big name would be.

map code:
----------------------------------
~43.128363, -77.668126|Rochester Airport|Blue|Airport
~43.1577533, -77.6094036|SUNY Brockport|Red|Colleges
~43.0999837, -77.6140391|Monroe Community College|Red|Colleges
~43.123861, -77.624202|University of Rochester|Red|Colleges
~43.091911, -77.66922|RIT|Red|Colleges
~43.1023677, -77.5143957|Nazereth College|SmallRed|Colleges - 2nd Choices
~43.116926, -77.516661|St John Fisher College|SmallRed|Colleges - 2nd Choices
~42.7957362, -77.8195088|SUNY Geneseo|SmallRed|Colleges - 2nd Choices
~42.2586706, -77.7911363|SUNY Alfred|SmallRed|Colleges - 2nd Choices
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Source(s):
Syracuse University
Empire State College
Cornell University (Google Maps)


RIT
Monroe Community College
SUNY Brockport

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I would hit Nashville. Nashville is home to Vanderbilt, Belmont, and Fisk University and 30 minutes away is MTSU which has the states largest student body.

In D.C. your probably planning on landing at Reagan National airport rather than Dulles because it's proximity to the city and will want to hit Georgetown, Howard, GWU, etc.
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