Why not consider Wolverhampton Business Airport? (Used to be called Halfpenny Green - a much better name!)
I trained with C & S Aviation last year and they are excellent - cannot recommend them enough. I did my PPL intensively over 7 weeks (due to crap wx) and had no problems with a/c or instructor availability.
With your height I would go for a PA28 - the one I preferred at C & S was GGFCF.
Good luck
PFO