Good suggestion by BA1A.
For me, this would be a simple improvement to EC membership to allow families into the lounge. I rarely take a guest into the lounge, if I am with colleagues they often have status - however as my travel is a drain on family life it would be great to return some small token; a couple of family vouchers for lounge access per year would certainly help share the pain!
Good idea. I think vouchers could be a sensible option. Maybe further drilled down to those part of a household account. But then that starts to remind me of AA lounges in the states where they hand out drinks vouchers
To the OP I don't think you'd get into the F lounge, that is certainly pushing things somewhat

I suspect asking politely at the Galleries may see some more lenience.