Ian, if you go onto the CC website, get to CLs, you will find you can specify your requirments and then search for matching sites by county or major town. Not being a golfer, i have not checked for this particular feature but am fairly confident it is there.
If you want a nice quiet site rather than CL, have a look at our local one - Wincanton Racecourse. There is a course in the centre of the race track and lots of other good things to do in Somerset Dorset and Wiltshire.
Down M6 M5 take the turn off to Street and Galstonbury and then approach Wincanton from the northwest. Towing through Wincanton town itself a bit problematic.