Another vote for Wild Game Innovations in the cheapie class. I gave up on expensive trail cams over 10 years ago. If I get 2-3 years out of a cheapie I'm happy, with a couple at least 5 years old and still going. They are out year round, and mine are now all the 8 AA battery type and I run Lithium batteries in the winter. They cost a lot more but hold up longer in the cold.
