Anthony, always great to see interest in the golf courses of western side of Scotland. My introduction to golf was Shiskine for two pleasant Match Play rounds with the proud member Graeme Scott. Unforgettable setting and novel safety gadgets of levers and bells and painted rocks, etc. Shiskine actually had 18 holes but hardly anybody played the drab six and maintenance shifted. All the better for a quick round or three. My gal and I stayed in a B&B just up the road.
http://www.calmac.co.uk/destinations/route-map.htm
If you fly in to Glasgow and rent a car, head straight west to Ardrossan. Take notice of the old oak groves on the way. There's something right about getting on a boat in Scotland and heading out to the islands - in this case Arran. I had imagined getting sleep on the ride but it's too short of a trip and the moment was energizing.
Carradale is a quirky quicky. I believe it's in some publication as "most sporty".
Honesty Box for greens fee
1st hole is a par 3 to a skyline green up a hill.
2nd hole big giant drive down into flattish pasture but most interesting green approach.
3rd hole par 3 drive riding dune ridge with a fade.
4th thru 6th is zig zag across pasture to hillside greens.
7th to necked down green heading out to sea.
8th par 3?
9th par 4 dunes right with barbed wire fence left.
We only walked Dunaverty. Tremendous views. Cattle, friendly, on course.
Machrihanish is not to be missed. Good luck on Battery. Springbank Scotch whisky in the clubhouse.
Machrihanish Dunes Did not exist when I was there.
Cullen is a giant pinball machine with its odd geology. Wear a hardhat. Coolest raised railway above town. Eat the Cullen Skink.
Brora is a natural treat.
If you go that far, step back in time about 400 years and play The "Other" Gleneagles. It's free and naturally made. Though it has routing, you can pick your own holes if you wish - like Sheep Ranch.
Give Traigh a try, as Bob Huntley will attest, but it is quite a drive up toward Skye (near Mallaig)
Other remotes I'd like to see next time are Tobermory, Askernish, Machrie (Peter Pittock advises that a caddy is a must hire), Boat of Garten, Strathpeffer Spa, Lanark, Aberdour (Hello Richard Goodale!) etc. etc. etc. And, of course, Painswick.