We are flying into Idaho Falls Thursday and out on Sunday. We would get to West Yellowstone late Thurs night. Need advice as to whether just stay there Fri-Sat or spend one night in the Park. The only available lodging is Old Faithful Inn at $215 or Old Faithful Snow Lodge at $197 or Lake Lodge at $166 for Friday night. Just 2 of us, no kids. Is West Yellowstone to much of a drive for day tripping?