At the weekend I think the only realistic options are Carlisle, Kirkbride or Cark, and I think the only fuel is at Carlisle.
Runway and contact details for both Cark and Kirkbride are in the AFE flight guide. Both obviously need prior permission by phone.
Cark is a bit short (although there is quite a bit of 'overrun' available), so it all depends upon your aeroplane and loading. I've been in and out a couple of times years back in a Pup 150 two-up with no problems.
But if you are staying in the south of the district the road journey from Carlisle or Kirkbride might be a nightmare, so might it be worth considering Blackpool I wonder?
I see there is a fly-in at Kirkbride on 26/7 which looks interesting.