The Wyoming State Science Fair is held at the University of Wyoming (UW) in Laramie, WY. Some of the sponsors in 2007 were: UW, U.S. Air Force, U.S. Navy and Marine Corps, Dept. of the Army, American Meteorological Society, local businesses and organizations. This would be a good way to show that UCAR/NCAR is vested in the Wyoming community.
Talk with UW about how to be a sponsor and see if other opportunities are available (e.g., do they need volunteers, judges, etc). UCAR/NCAR staff could also volunteer to be mentors to the students in Cheyenne as they are developing their projects.
UW hosts and organizes the science fair.
Visited website for 2007 Wyoming State Science Fair
http://outreach.uwyo.edu/conferences/sciencefair/