Talked about this with Anely this evening, we will try to get to the lunch meeting, will confirm later in the week.
I still don't have time to do off much help, but will help as I can. I am a Rugbeian so Warwickshire is home, even though we now live 500m over the border into Northamptonshire
Caffeine and Machine would be an obvious stopping point. Not been there myself, but I've heard the owners are a bit 'snooty' so may not be such a good plan.
Silverstone would be another obvious place to visit, just over into Northants. Bicester Heritage Centre is not too far over the border either.
Also Gaydon for the British Motor Museum, or the National Motorbike Museum close to the NEC, Birmingham, or Gilks' Garage Cafe in Kineton, or The Long Itch Diner, or Whilton Mills Karting
I also just found about a place called Aurum's Lounge which is only about 5 miles from me, but have heard of it before! EDIT: this place may have shut down already, will check
Or I've got space for half a dozen or so cars on my drive
And of course I can offer a base for pre-meet tours around the area.