Yes, I live in Lincoln so it's on the doorstep so to speak. Newark Air Museum is another one of those peculiarly British places run by volunteers that have a really superb collection of aircraft and paraphernalia and it's literally just off the A1. Well worth a visit next time you are down that way, about £8 I think to get in.
There's a museum at Scampton and also at Waddington. not sure how you get access to them as a civvy so to speak but if you ring the units I'm sure they will put you on the right track.
Edit: not done Elvington on a taxi day but I've been to Bruntingthorpe on one of their fast run days and it was worth the trip just to see the Frightening do it's stuff. Elvington has become a bit difficult to fly into these days (I was nearly clobbered by a massive RC jet last time I went there, it was doing quite seriously about 200 kts) but Brunters is still GA friendly.