There are a lot of good hotel options around the airport that will be about 20-25 minutes from the venue. If you'd rather experience the city of Louisville, you can look at hotels downtown. You can also browse Airbnb listings in Louisville.
Hotel
Homewood Suites by Hilton Louisville Airport
130 Central Avenue, Louisville, KY 40209
A good hotel option away from downtown, near the airport with a free buffet breakfast. 20 minutes from venue.
Hotel
Hotel Genevieve - JDV by Hyatt
730 East Market Street, Louisville, KY 40202
A fun, new boutique hotel downtown. Restaurant on site. 25 minutes from venue.