I use a group 27 RV battery in my tear along with a 43 watt solar module mounted to the galley lid. Longest backcountry campout so far without plugging in to power was 3 months. I run a couple lights, fan, forced air heater fan, laptop, TV, camera battery charger, etc..
Without any charging source at all, you'll just have to try it and see if it has enough capacity for your purposes. As someone else said, pick up a volt meter so you can monitor the batter voltage.
Q
JohnF wrote:I don't expect to use camp sites with commercial power so I thought to install only a fair sized deep discharge 12-volt battery to power a few lights and perhaps a small vent fan. Outings for only 4 or 5 days at most.
Any experience that indicates something else would be better? (Cubby in planning stages)