I would nix the bells on the bridle -- probably hard on the horse's ears. Saddle and breastplate are lots for most bells.
I try to avoid going out in the early morning or just before dusk -- hunters tend to be more active then. And, definitely, as mentioned, if you can, check out with the landowner where you are going. Also, there may be some properties that don't allow hunters too. As well as some places don't allow hunting on Sundays. While this isn't 100% reliable, it narrows the chances.