I have a buddy of mine that backpacks yellowstone almost full time. He lives in Jackson hole. Also I have been around lots of bears hiking in the Canadian Rockies. Black bear wont mess with you and for the most part neither will grizzlies but on occasionally they will. My friend has had numerous bad experience run ins with grizzlies in Yellowstone. Also moose will have new borns with them in June . The females are very aggressive when they have a calf with them. Do your research before going into the backcountry. As for gear for what you are paying, and it still being cold there, you will be carrying some weight. You can get a Marmot Trestle !5 for about 100 bucks. Its a synthetic bag that warm but it weighs 4lbs and a north face storm break tent which weighs 3.5lbs for 130 bucks. both from REI. Both good prices. Weather seal your tent