A visit to The Archway, an Old West history museum, welcome center and gift shop. Visitors can tour the museum which spans Interstate 80 near Kearney, Nebraska. The large campus is a great place for a break from your travels.
The Museum of Fine Art in St. Petersburg, Florida, is small but impressive. I've visited it more or less regularly for years, and they present quality exhibitions in a professional environment. A 2006 expansion allows the museum to offer a cafe and respectable gift shop, in addition to their permanent collection and revolving exhibits. It's a fine way to spend an afternoon, especially if you include the nearby Dali Museum in your itinerary.
Right on the water in St. Petersburg Florida is a modern and unusual building. The surreal yet sumptuous architecture of the Dali Museum is worth the experience, no matter what's on display. But you'll want to stay for the permanent collection plus whatever they have in the temporary exhibit halls, too.