Re: Binocular recomendations, PLEASE!
To be honest, I think that you maybe asking to much from a $100-$200 pair of binoculars, especially out to the 800 yards. For that price range, I would recommend looking at a pair of Porro Prism binoculars. They are not compact, but they will give you a higher quality of image for less money than the Roof prism style. Below are 2 binoculars that I would recommend that will give you very good quality for the price range you are looking for.
Nikon Action Extreme
The power would really depend on the type of hunting you will be doing mostly. If you are box hunting, than you may want to consider the 12x50's since you will be able to hold them more steady against the hunting shack. If you are more still hunting or stalking, than the 10x50's would me the make power that I would recommend. Hope this helps you out.