West Yellowstone is hard to beat for family. The campground is bear fenced, showers hot, bikes available to ride into town, shopping for the ladies, bearworld for kids. Of course there's the park too. You can do 6-7 t&g's on the 10,000 strip on the way in but there is Henry's Lake airstrip 5 minutes away if you want to get grass stains. We like to take an evening flight out over the hot side of Yellowstone Lake and then back over the Caldera of Island Park, there's lots of water so just before sundown is beautiful.
I also like Kalispel as someone mentioned, Wisdom can be fun if you fish but the grass strip is rough. Chico Hot Springs used to let you land there but I've heard somebody crashed, rebuilt, and crashed again pissing off the establishment and perhaps rolling up the welcome mat. Avoid Wilsal unless you have squishy tires. Lima has good food at Yesterday's Cafe, there's a road leading up to the cafe that's been used instead of the airstrip across the interstate. A prior ground recon is a good idea. You can do a lot from Three Forks and a meal at Sir Scott's is worth the price of admission.
Update: "The former runway / landing strip at Chico has been closed due to residential growth in our area."