This is really beautiful area. If you like to golf, I highly recommend the Wasatch Mountain State Park golf course in Midway (nearby). You can also drive from that state park over the top to Deer Valley ski resort and down into Park City.
Drive up to Cascade Springs too, that is on the Alpine Loop but you can access it from Soldier Hollow (Midway). Or, drive to Cascade Springs and come out at Aspen Grove (just above Sundance Ski Resort). The drive from Midway->Cascade Springs->American Fork canyon is really pretty but you end up in Utah Valley and have to drive back up or around through Provo Canyon.
If you want an upscale dinner, the Grill Room at Sundance is nice and quiet. The Tree Room is even fancier/more expensive but not necessarily better food.
Depending on the time of year, there are some events in the area. There is a big cowboy poetry festival in Heber. Midway has Swiss Days in September. There used to be an air show but I think that hasn't happened for awhile. 4th of July and 24th of July has nice fireworks in the valley.
Fishing on the Provo River is supposed to be well known (near your campground too). There are several reservoirs in the area; Deer Creek, Jordanelle, Strawberry, etc.
There's mountain biking also... I see people ride Dutch Hollow but don't know much about it. You can rent ATVs in Midway and go up the trails near Snake Creek.
If you like hiking, the hike up to Wall Lake is cool. Elevation is really high and it is a little bit of a drive from Heber Valley.
You are near the Uintahs so there's a lot to do that direction.
Plus, Park City is only 20 minutes away from the campground. Park City has their famous downtown area, plus outlet shopping, the Olympic sports park (try bobsledding), zip line, alpine slide, etc.
You could go to Oakley and eat at the
Road Island Diner (on the way to the Uintah area).
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