I focus on the $200 range.
The cheaper the camera, the slower the trigger and more batteries your going to be buying.
Put that cost of batteries against a better camera and you won't be buying them as often.

Out of all of my cameras, I prefer my Reconyx HC500 which I paid $325 because I had a bunch of Cabelas points built up.
It will take about 22-24,000 pics on a set of batteries.
My last time I switched batteries in it (Energizer AA lithiums) they last 14months and I leave it out about 10months out of the year.