Bama will just make the cut - you’ll get $15K. You should take the SAT again. 20 more points = $9000 more. They just have a minor, not major in IB - but South Alabama has a major in addition to Auburn.
Vandy is easy - run he NPC to determine affordability. Then there’s that they have neither a finance (or business) major for undergrads - but these are the little things 
I’d also say given his #s it’s a no, as will be UGA and UM. If you want a Vandy type, look at Emory although I’m not sure if they can fit in the International but they have undergrad business (as does Rice).
Agree with U of SC - it’s #1 for IB - but it’s also a no for the major (maybe not the university).
Was going to suggest Charleston but @austennut beat me to it. My kid goes. You could get under $50K and check out the international scholars program which I linked below. The student would have to double with International Studies but there’s likely crossover.
Ole Miss has a great International Studies school - I’m sure it can be combined. Mississippi State and Southern Miss both have IB majors.
FIU is strong, #2 after U of SC. FAU was mentioned. FL publics are generally affordable. So any that have the major. Rollins for private with merit if you want small.
Georgia Southern and Kennesaw State in Georgia.
In addition to UNCC as noted earlier, App State.
James Madison in VA.
LSU has a major called International Trade and Finance. They’ve gotten aggressive.
Best of luck.