You can't beat staying in the park. This is the closest campground to Logan Pass which helped us get there early in the morning before it got busy and the parking lot turned into a madhouse.
We saw plenty of wildlife, even a bear. That means you have to keep a very clean camp. We kept everything in our car except our clothes which we kept in the tent. The park service is very protective of its bears and for good reason. Don't give a bear any excuse to be sniffing around your campsite.
The sites are a little close and a little small, but we spent most of our time hiking and exploring the park so that wasn't a big deal. We also appreciated the showers behind the nearby camp store. You get 8 minutes of hot water for $2.50.
I would definitely recommend this campground, and I would stay again. I posted some pics of the view from our site.