It's too late to get permission (deadline was May 10) for landing at the base, but you can land at Rapid City (RCA) for the festivities.
http://www.ellsworth.af.mil/airshow/fly-ininformation.asp
http://www.coloradopilots.org
http://www.ellsworth.af.mil/airshow/fly-ininformation.asp
http://www.coloradopilots.org