Grizzy RV in West Yellowstone

You can't avoid driving every day if you want FHUs (except Fishing Bridge). One lap of the Grand Loop is 140 SLOW miles. At any point on the loop, you're about 70 miles away from the opposite side. But the West entrance is 14 miles to the loop. NE - 30 miles. SE - 26 miles. South - 21 miles.
And Fishing Bridge is operated by Xanterra. NOT the National Park Service and its just as expensive as Grizzly RV park.