I have owned several cameras over the years of various brands. Of the ones I have used, my two top picks are the Moultrie M880 and the Bushnell Trophy Cam. Both of those cameras are well under your price range. I set my cameras to video so my experience is limited to that mode. I would buy another Moultrie M880 in a heart beat.

The Moultrie is hard on batteries in the video mode, but I use an external battery and that will allow me to keep it in the field for a couple of months at least.

The Bushnell is really easy on batteries (AA) in video mode, so I don't use an external power source with it. I can only imagine how much longer batteries would last if set to photo.