My furnace (Suburban NT-20SEQ) draws a measured 2.1 amps when running steady (a bit more when first starting up). Suburban specs it at 2.7 A. So, 10 hours overnight running full time would only be 21 AH.
If you have GC2 batteries, you should have ~200 AH to work with, which would give you about a week of use for furnace only. For best battery life, it's suggested to not draw lead acid batteries down below 50%, and you've got some small lighting and pump loads (fridge? that will draw ~0.5 A, even when on propane), so you should be able to get 2-3 days. And, that's for constant overnight use, so at mid-40's (guessing furnace is actually running ~3 hours/night ~= 7 AH), you may be able to go a week.
YMMV. You really need to measure how much current your camper draws with different things on.