I have 2 suggestions,
on the Peak Passport scheme Marsh house
If you need to stay over then this place has fishing on site for free!!
Bed & Breakfast Derbyshire. Accommodation Derbyshire. B&B Derbyshire.
explore their site, you'll see the quality of fish, if you don't need to stay over, I'd look for a beat on the passport scheme close to their stretch...but as you will appreciate, fish have fins & move about.
Please post a follow up note after your visit so we can see what you think
Best regards
C