Hi Alaska - as an ex AAer myself, (and a current BAer, I can suggest another museum to you. Its located at Sandown Airport on the Isle of Wight (which is but a short Warrior Flight from Shoreham airport). Its not huge but has atmosphere, and is also a fun place to land at (It has a footpath running across the active runway....)
Tangmere also has a small museum, as it used to be a WWII RAF field. I would also suggest the Museum of Flight in Southampton. Give me an e-mail, and we can fix something when you get over here.
Tailwinds