Not many have fescue greens: Chambers Bay, and all the courses at Bandon Dunes do. Ballyneal is being converted to bentgrass, after a lot of bentgrass contamination, which is not uncommon if you're not aggressively trying to keep it out. Most of my recent fescue courses [Dismal River and the new one at Forest Dunes] were built with bentgrass greens, because their sister courses have the same.
I'm a pretty big advocate of fescue fairways in the right climate: High Pointe had them, and so do Pacific Dunes and Old Mac and The Sheep Ranch and Ballyneal and Dismal River. And I know you're just counting U.S. courses here, but Barnbougle was the first course in Australia to be all-fescue, and Tara Iti is now the first in New Zealand, as far as I'm aware.
You CAN have fescue fairways with carts, but it's pretty hard to keep them pure over time. Many which have tried [including Sand Hills and the first course at Dismal] wind up pumping up the fertility to handle the traffic, and either get thatchy or get converted to other grasses. We will have some carts at Forest Dunes, but hope we can get enough people to walk that the traffic doesn't take its toll.