Thank you for all of your responses and private messages! As always, GCA comes through with some great advice!
Itinerary not set yet, but since I will be traveling with four couples, I know that 36 holes per day will not happen, except maybe at Machrihanish. So I am inclined to disregard all the sound advice to NOT to move around too much, because the wives are more interested in seeing as much of the country as possible, and they may skip a few days of golf to sightsee. We also do not mind windshield time, especially with a driver who can add some colour to the trip.
I know that I will have to return several times for a more thorough golfing investigation of each region!
Here is what I am thinking:
Fly into Edinburgh, play and stay at North Berwick. Stay at Macdonald Marine Hotel or Glebe House.
Drive to Elie (or should it be Crail Balcomie?), play there, stay at St. Andrews for two nights.
Play Castle, Eden, Kingsbarns or New (two of three) and try to get an afternoon round on the Old Course via the ballot.
AM Drive to Turnberry, play and stay there.
Play Western Gailes, stay at Marine Hotel in Troon
Play Prestwick, drive to Machrihanish, stay at Ugadale Hotel. (I know, long drive...)
Play 36 at Machrihanish, stay at Ugadale
Boat to Machrie, play Machrie, fly to Glasgow, driver bring luggage to hotel, stay near airport.
Flight home in AM, Glasgow to Newark.