Minch' Old, Painswick and Cleeve are different to the norm, they are marmite courses, some love them, some hate them and Adrian sums this up nicely in his post above.
As to the other 2 modern courses near Minchinhampton, I'm not a fan of the Avening but like the Cherrington.
There is actually an all 3-course Minchinhampton membership deal but it's rather confusingly called a "3-course Joint Membership" which kind of suggests more a meal for a couple than individual membership at a golf club! The difference between a full 2-course and a full 3-course membership is just over £200, which doesn't seem excessive to spread some marmite to your usual toast, if you like marmite that is!
The Cherrington incidentally held regional qualifying for The Open last month and the participants murdered it, crazy low scoring.
PS - I wonder if Saunton and Westward Ho!/RND were only a couple of miles apart on land instead of across the wide estuary and were 1 club what percentage of play would be on the S-East, S-West and WH/RND? Again the marmite question. Curiously enough I myself can't stand marmite but am rather fond of the course at WH/RND and at Minch' Old as well.
Later edit - a couple of my photos of Minch' Old.
From the 10th tee in May/Springtime -
From the Clubhouse balcony of the 18th green and fairway in late Summer -