If a tripod is an option, then it seems that any small digital camera with a full manual or semi manual mode (where you can fix the iso speed) should be capable, usually the exposure time limit is 30 seconds, which will capture a very dark room so long as nothing moves. It's the automatic high iso that's creating the graniness. If you want I'll email you some low light shots I took with my older Canon S30, both braced (ancient ceramics kiln in Taiwan 0.4 seconds) and with a tripod (firelight shot - 8 seconds). They're too big to post here.

-Zeke