There is a Holiday Inn, not far. I know they have a lot for long term parking. I've stayed there but cannot remember the road name. I know my MIL has kept her car parked there during trips. Some hotels have a 7-8 night limit, and charge after that. Others are 14 days. Just check around. Try parksleepfly.com. I'm not sure if that is the site name or not, but you could google it. We booked thru them when we flew out of Indianapolis last year, and it worked out really, really, well.
The airport is fairly small, and easy to navigate. We most often fly from Columbus. I have parked at the airport long term lot for 8 days without paying a fortune. It is the first lot you come to once actually on airport property. The entrance is on the right. There is usually a shuttle circling as you park. They will usually come right up to your car, and wait for you to unload. I had one driver help get my bags from the trunk. Ther are also plenty of pick up spots.
Good luck, and have a great trip.