Greetings from the Low Country. AA dropped their only SAV service (from DFW) last year. From ORD your best (only) bet is UA if you want a n/s, otherwise JAX is the best airport (about the same as CHS but cheaper) if you're hell bent on flying AA. US is cheap into SAV but generally not onto HHH itself (US is the only carrier on HHH, SAV is 1 hr drive).
FYI - ATL SAV flights will be cheap as long as Airtran is on the route.