Coventry would seem suitable to me unless it's too close to BHX. There's already a museum on site and it's a reasonable day trip for enthusiasts from almost anywhere in England.
Unfortunately i fear CVT is out, as all of the south side of the airfeild is now under warehouses, and the noth side is slowly being swallowed up by JLR. although it would be awsome to see it there, there just isnt the infrastructure anymore.