You're dead right GTTC, Manston museum near where I live have dedicated people who give up an evening a week to keep the aircraft and exhibits looking good, I think it's more of a social gathering as well. Surely there's enough exers around who could do a little bit then down to the NCOs mess for a pint?
As you say you don't need to be a qualified person to put some air in the tyres, even FF could probably do that!
Unless they only want genuine 1940s air for the Ansons tyres?