You have full world band GSM support on your phone, which means that you can use the T-Mobile and AT&T 2G networks in the US, as they are GSM based. Note that while cell phone coverage where you are going is fine (it's a suburb of Raleigh/Durham), there are places in the continental US where coverage (GSM and CDMA -- it used to be that CDMA coverage was more prevalent than GSM, but both are widespread enough now that it's a wash) is nonexistent.
As to 3G -- your phone is compatible with AT&T's deployment of UMTS/W-CDMA in the 850/1900MHz bands; however, it cannot use T-Mobile's UMTS deployment as it is in the 1700MHz band, which your phone does not support for 3G. You have will have no LTE either, as your phone does not support any of the US LTE bands.
US prepaid SIMs are available widely -- you will want to get one through a prepaid provider that uses the AT&T network, such as H2O or Straight Talk. (Getting one that goes through T-Mobile will leave you stuck on 2G much of the time.)