On open airplane days, you can park at the museum. KHGR is usually pretty accommodating. We have young eagles flights on Aug 20th, another open airplane day for the museum. Wings and Wheels will be coming up, usually they shut down a taxiway and/or runway for additional parking.
You can even get PT-19 rides. KHGR has lots of history with Fairchild the state just provided a substantial grant to expand the museum lot's of cool things to come.