Are you needing a hangar or just a tiedown?
Stearman Field (1K1) is my home base. Probably tough to get an overnight hangar there since there's no real FBO, but you can tie down for free on one of several concrete pads connected to the taxi way. Like Matt B. mentioned there is a great GA atmosphere, a fantastic restaurant on the field, and a lot of GA activity. Several RVs in various stages of construction and a few flying.
Jabara (KAAO) is nearby and caters more to the corporate jet crowd that doesn't want to be inconvenienced by the formality of Mid-Continent (KICT). Pretty easy to get a spot in a community hangar at Jabara, though you'll pay dearly for it and avgas too. Tiedowns are available, but not sure about price.
The FBO at Mid-Continent (KICT) is called Yingling. Decent gas prices for a class C airport. No experience overnighting there, though I'm sure both tiedowns and hangar space are available. It's actually pretty easy flying in/out of KICT if you're comfortable on radios. They're pretty GA friendly.
The last one to mention is Augusta (3AU). Community hangar space is available for an overnight, and so are tiedowns. Fuel is reasonable.
If you're not in need of a rental car, all are good options. The only ones with rental cars on the field are KICT and KAAO. You can probably get an Enterprise delivery at 3AU as well. Getting a car at 1K1 might be a bit tougher, because there's no FBO for Enterprise to coordinate with.
Feel free to send me a PM for more details on any of the above. It would be great to meet up with you while you're here and go for a burger at the Stearman Field restaurant. If you run into any trouble on your trip or need a ride I'm available.