I've never used mine for deer, but it works great for other things like tomato sauce, jams etc. Pressure canning is safe for all foods. For water bath canning you need to have a fairly high acidity to ensure safety. There are a lot of good resources for canning on the internet, I don't personally know a lot about canning meat.
I think stew meat would work great canned, I cook it in the pressure cooker all the time and it turns out perfect. Brown the meat first and then can it following a recipe for the time and pressure.