I live on a ~180 acre farm and own four cameras. The thing is, I only have them up in my clover plots (which consist of about 7 acres total) since that's where I'm most likely to see deer. I use Moultrie cameras exclusively. Mine are older models, so I can't tell you how well the newer ones stack up.
If you're having trouble with thieves/vandals, you definitely need to choose a model with a locked protective case. Preferably, hang it somewhere high where someone couldn't easily reach.