There are 10 or so hotels within 5 miles or so from the track. The track is about 5 miles from the airport so any hotel near there would be close to the track. Some that come to mind are: America's Best, Days Inn, Holiday Inn Express, Ramada, Sleep Inn, Super 8, Hampton Inn and Airport Inn.
I live in Lincoln so I don't know anything about them. I'd guess the Hampton Inn would be the most expensive but I don't know.
Hope to see you here.