Michael - awesome trip. You'll have a blast and while all the above are great suggestions, no one knows how you want to spend your time better than you.
We seem to have these threads a lot, so if people are genuinely looking for a lean hopefully this helps.
People have less and less time to go away, so for inbound travellers who can only get a 5/6 day pass these might help. For my money, the 4 stock "in and out" trips to Scotland without getting all artsy about it are:
(all days of week should match up with the visitor/member only days)
East Lothian-
Monday: Land into Edinburgh and play Dunbar, stay in North Berwick the rest of the week
Tuesday: 36 - Gullane No.1 and 2
Weds: Kilspindie in the AM, Musselburgh Old in the PM. Nice easy day after the 36 before, and the 36 to come
Thurs: 36 at Muirfield. 4-ball, J&T lunch, PM foursomes a must
Fri: 18 or 36 at North Berwick if you can get both rounds booked in
Sat: Fly home
Throw in TRC, Luffness New, Longniddry, Gullane No.3 for extra rounds. Take out any of the listed to get the train into Edinburgh from NB for an afternoon. Plenty of pubs and restaurants in NB, as well as multiple accommodation options. Outside of the 40 min airport drive, you'll drive 5-20 minutes in any one leg that week.
St Andrews -
Monday: Land into Edinburgh, play Crail Balcomie, stay in St Andrews all week
Tues: New and Eden
Weds: Jubilee and Himalayas
Thurs: Ballot for Old if you don't have guaranteed tee time. More chance on Thursdays and Saturdays
Fri: 40 minute road trip to Carnoustie and maybe Panmure while you're at it
Sat: Kingsbarns or Elie to finish. Two very different experiences but they won't beat you up and are perfect final day crowd pleasers
Sun: Home
If you can find space for Lundin, Leven, Scotscraig, Dumbarnie etc then great. However, you're well set if doing the above. Staying in St Andrews is well documented, as are F&B options.
Aberdeen and Highlands -
*some would argue two trips but it's one trip if you're on the 4-8 year plan to see all of Scotland.
**Definitely the most driving of the 4 trips
Mon: Fly into Aberdeen, play Cruden Bay, stay in Aberdeen for 2 nights
Tues: Trump in AM, Royal Aberdeen in PM
Weds: Nairn on the way to stay in Dornoch for 3 nights
Thurs: Dornoch x 36 if you can
Fri: Brora - by all means play Golspie in the PM. The latter won't make or break your trip but if you're up there, then why not?
Sat: Castle Stuart and fly out that afternoon if timings work, or spend last night in Inverness and fly Sunday.
You hit all the big names and can stretch it a day by playing adding Fraserburgh (PLEASE DO!) and Cullen or Covesea on the way up, or the likes of Fortrose/Tain/Skibo if you really want. Enough spots up there to keep you fed and watered.
Ayrshire:
Monday: Fly into Glasgow and play Glasgow Gailes, stay in Troon
Tuesday: Royal Troon Champs AM, Portland PM
Weds: Prestwick Experience - tee off early then jacket and tie lunch (Weds and Fridays)
Thurs: Turnberry Ailsa and King Robert the Bruce to make the 40 minute drive down worthwhile.
Friday: Western Gailes
Sat: Fly home
Another round at Prestwick on the Weds, or Barassie and Dundonald can be thrown in there too for the guys on the 36 a day diet. Outside of the Turnberry day and the airport transfers, max drive around 10 minutes all week. If at all possible get over to Machrihanish but I'll leave those logistics to readers.
There is no fixed way to do any of those but hopefully they provide good templates for people who can't do it all in one go, and would rather not move around too much when they are here. The Aberdeen and Highlands trip being somewhat of an exception re driving.
So, if you can get away for a week every 2 years, you'll be done in 8. Insert Ireland and/or England in the fallow years....