Consider British Columbia
I have hunted Elk with Four outfitters in 3 states and BC. In B C there is a six point minimum. You can hunt with a rifle during the Rut. Very exciting hunting with little pressure. Baldy Mountain Outfitters is in your price range and very fair. They will come to Kalispell Montana and pick you up at the airport for a fee. There are also several more outfitters in the Fernie, Cranbrook area. This is my favorite area.