Jon,
It all depends on why you are in Scotland!
On my last trip (my fourth) my better half and I only played The New Course, Fraserburgh, Hopewell, Brora and Machrihanish over an eight day period. (she had to fly home, while I stayed another week.)
We were in Scotland as tourists and we wanted to equally experience 1) the golf, 2) the music and 3) the history and landscape. Yes there was a lot of driving but we stopped "to smell the roses" every step of the way, and never felt rushed at any time.
We visited castles (Urquhart, Donnottar, Eilean Donan, Kilchurn and Huntley), museums in Anstruther and Fraserburgh, music in Anstruther and Perth and memorable meals in Inverness, Oban and Tarbert.
The standing stones on Arran were worth the trip there despite the quirky 12 hole course being closed for a tournament. (Can't remember the name, blast it!)
I've been on golf trips where it is nothing but all day golf every day and that is fine, but as I get older I enjoy the total experience more. I'm amazed every trip at the wonderful inexpensive bed and breakfasts and the friendly folk everywhere you turn.