Maybe your State militia. Tennessee has one.
Look into your State Guard. Most states have one. Duties vary, but for the most part you support Federal military forces and handle jobs they are too over taxed to do. The Texas State Guard, for instance, operates Red Cross shelters for hurricane evacuations. The Texas National Guard used to do that, but they have too many folks deployed overseas.
http://www.agd.state.tx.us/stateguard/default.asp?ldpage=main