If you are coming to Yorkshire then certainly give the museum at Elvington (near York) a look, there is also a WW2 museum at Eden Camp (about 10 miles east of York). You could get a flight out of Sherburn Aero Club which is not too far away and, being in Yorkshire, you can sample all four seasons in one afternoon.
As for seeing Typhoons. You may be lucky and be in the area when a pilot graduation is on at Linton. More often than not that will include a Typhoon display. Alternatively, RAF Leeming is just up the way and often has them in on short visits.
As you trek north to Scotland, spend a day around Windermere in the Lake District; it gets its share of low level jets and a very short climb can have you looking down on them as they pass (especially Dunmail Raise).
Everyone raves about the Mach-loop but this has two drawbacks. 1) It is in Wales and 2) It is in Wales. Unless you drive like a nun on her driving test you are likely to go to jail for 10 years for going .1mph over the speed limit. :-)
Hope you have a great visit.