Derbyshire has Matlock Bath (definitely not my favourite & we very rarely visit) which has hundreds of motorcycles visit on a weekend, a few during the week too, but certainly not as many. Obviously summer is best but you can still get a few on a nice day over the colder months. (Think Blackpool in The Midlands)
Cafe wise .......
The Yonderman, SK17 8RW, always a few bikes on a weekend mainly in the mornings.
Monyash, Old Smithy, DE45 1JH, as above.
Flash Bar Stores, SK17 0TF. Not as much room, or bikes, but usually a few.
Grindleford Station, S32 2JA, don't seem as many bikers use it now, but one or two.
Castleton Visitor Centre, always get a few bikes stop in the car park for a coffee. But it's a busy village.
Ladybower Cafe, (butty van) S33 7ZH, at the bottom of The Snake Pass, plenty of bikes up & down there.
Fairholmes Visitor Centre, Bamford. (just around the corner from Ladybower Cafe). No cafe as such but a few pull in there for a coffee/ice cream.
A few cafes in Buxton that bikers use but we don't, not for any reason, just prefer 'out of town' places.
All the above attract quite a few bikers on good days and the first two do an excellent Full English.

Plenty of fish& chip & coffee places in Matlock.
None of these are too far from each other and there are some great riding roads (A & B) around the area.