Nobody is answering, and I haven't been, but it looks as though Danishcampsites.com might be a useful starting point for you. I suppose that if you chose your region and then click on the one star sites they will be the nearest to CLs in the UK.
And just typing Denmark in the search box at the top of this forum throws up a wealth of ideas too.
We camped in Denmark back in 1988! Arrived from Sweden to work our way across to Esjberg. We had a map/list from the tourist board back then, probably much the same as above website.
Hi we did Sweden Norway and Denmark in 2014 and loved it to answer your question yes they have loads. We bought this book http://www.amazon.co.uk/Nordic-camper-guide-Motor-Caravan/dp/8799805405
Stayed at some lovely small sites, at one the owner knocked on the door both mornings to deliver freshly laid eggs for free.