In Tulsa:
Try
Bodean Restaurant & Market for an elegant evening meal.
The Philbrook Museum of Art (
Philbrook Museum of Art) is more of an enormous mansion with sprawling grounds and an elegant cafe. Before touring the place, stop by the gift shop and buy the small booklet that provides photographs of the rooms before all the future was removed to convert the place to a museum.
Just west of Tulsa is the Gilcrease Museum (
Home | Gilcrease Museum). If you're noticing that people in Oklahoma can't use conversional spelling you're correct. Whereas the Philbrook is a mansion turned into a museum, the Gilcrease is a museum with a small historic mansion on site. Both places share a chef so the cafe is quite good here as well. Unlike most museums, there aren't a lot of velvet ropes and you can get quite close to the art. If you enjoy outdoor magazines you'll recognize a lot of the Remington bronze art. It also has the largest indian war bonnet collection you'll ever see in the lowest level. The place has a western art emphasis bit it still represents the collection of a man made wealthy by the discovery of oil - not an uncommon theme in the area - that pursued the discipline of nouveaux gentry.
If your route takes you west of Tulsa and then north on I35, give serious thought to taking a side trip to Ponca City. It's another original oil boom town that has the Marland Mansion (
Welcome to The Marland Estate) that is period decorated and quite charming (the large tiled pool that was filled because they can't maintain it breaks my heart) and the mexican restaurant at the airport is an attraction that people fly in to enjoy (
Enrique’s Mexican Restaurant, Ponca City, Oklahoma).
I'm sure someone else will speak up for Wichita but I always like to go to Boeing's scrap yard (it's probably just me) and I'll drive to Hutchinson Municipal Airport if it's around meal time. When I was still active duty, I'd fly in and have a bowl of french onion soup. I watched a young female Lieutenant that could resist the fried chicken and cleaned her plate, had dessert, and fell asleep during her training flight on the way home.
I find this thread amusing and would be quite interested to see what recommendations you act on and your reviews. I also want some of Dennis' BBQ; I've never found good BBQ outside of Texas.