We have been campground hosts in Lizard Creek Campground at the north end of Grand Teton National Park for 5 of the last 6 years. I can tell you that most of our campers have considered Lizard Creek to be the best campground in either Yellowstone or GTNP. There are no hookups, but we have many truck campers come in and stay. From Lizard Creek one can do both Yellowstone and GTNP without too much trouble, and as long as you arrived by around noon, there were usually campsites available. Drop in for a night, and if you like it, extend your stay there. Most people did that. As for wildlife viewing, we had many occasions of bear, moose, deer, elk and foxes, and one year even had wolves in the campground. We had probably an equal number of grizzlies and black bears, sometimes at the same time. You must be especially bear aware in all of the campgrounds, but especially in Lizard Creek. There are sites right on Jackson Lake.
One word of note to all, in 2015 we had record numbers of visitors, as did both the Parks and the commercial campgrounds as well. Next year due to the celebration of the 100th anniversary of the Parks, numbers are expected to surpass 2015. Plan ahead, stop and get your site early and then sight see after you have a site.