CL recommendations please

Most of your parameters can be selected during a search on the booking

My goodness TT, you're not asking for a lot are you!! There are plenty that would suit some of your requirements but not many that would match them all. 

A quick search gives 6 in Lancashire, 1 in Nottinghamshire, and none in Derbyshire that have all that you want

That’s going to be a testing combination. CLs with fishing on site are often AO for safety reasons, and the one that came to mind to me is just that sadly. I think you will have more luck if you decide to ignore the fishing initially, find a family CL with all you need, then research the fishing separately.

The very obvious place for you to stay and achieve all your needs is of course Clumber Park Club Site. 

If you are new to CLs, don’t expect to find everything that a Club Site offers, but cheaper. If you can compromise a little you will find a lot more CL options. Ditch the need for showers/ loos and try using your onboard facilities, (if of course your van has them) and that gives different options.