the best way to become a member of the MCC is as a Playing member, but these days you have to be minor counties standard or better as a batter or a quick bowler at a good club.
the Egg and Bacon lid is a brilliant idea - have you spoken to the guys at the MCC shop (possibly different to the Lords shop, I am not sure) The members will love them, especially if they are terribly "exclusive"...
for the waiting list there is something like a 20 year wait for full membership, but you typically can be an associate member after 5 or so years so you can come to the ground most of the year, wear the club colours (yes that means the pyjama's too) apart from certain days.
given the catchment area for Fordhams, putting my feelings on the place aside, you should try to get your lids in there as they have loads of wealthy parents/players who go in there.
For me Romida is significantly better than Fodhams...