Don't stay ANYWHERE off the exit.... There is more DNA in that Scottish Inn than a crime scene...I would say camp at the track... If not Get a room in Valdosta..
Usually stay at the Days Inn Lake Park/Valdosta up at exit 5 in GA. Not fancy, but clean and cheap. Might get a discount if you mention Jennings. Check the Jennings page. There is also a Hampton there if you want to spend more.
Another +1 for the Days Inn in Lake Park. Easy in and out off the exit. Parking lot is big enough you can bring a reasonable sized trailer with you. There's restaurants within walking distance. Agreed stay away from the hotels at the Jennings exit and at the 1st Georgia exit