There is always a chance to change batteries, and that is what you'll have to do. No compact point and shoot released in the past two years with decent photo and video capabilities lasts longer than 350-400 shots.
If you want the one with the longest battery life period, then get this one:
http/www.dpreview.com/products/casio/compacts/casio_exzr400/specifications
but it is a mediocre camera.
If you want to compare cameras and features go here:
http
/www.dpreview.com/products/search/cameras#!
The features you care about are on the "physical" tab. I would suggest you also pay attention to sensor size (larger = better, the simplest and most accurate predictor of image size) and possibly weather sealing. It rains and such in the woods.
If you want specific models that I like (and you might not) feel free to ask.