Sandy,
Having been to both Scotland and Ireland why not consider England?
Around Liverpool/Blackpool you have Royals Lytham, Liverpool and Birkdale all excellent Open venues as well as some very pleasant second tier links courses in the area.
I will try and sell you the South East of England which has been discussed here before as having some of the finest courses you can pay on within a max 120 minute drive.
On the Kent coast are 3 Open venues, Sandwich is still on the rota and Deal is improving and could hold a significant event in the next decade. Princes makes up the 3rd Open venue all of which are a max $20 cab ride from Sandwich or Deal towns. No excuse then for not having full lunch, too much claret and trying some Kummel! Further down the coast are Littlestone and the famous Rye links.
The South East is home to some of the finest inland heath courses in the world. Sunningdale, Walton Heath and The Berkshire are top draw closely followed by The Addington, West Sussex, New Zealand, Woking, Worplesdon, West Hill, Hankley Common and Swinley Forest to name a few.
Fly into London, no changing planes on this trip, maybe spend a night or two in the city tasting it's historical, cultural and culinary delights. Sneak a game at Royal Blackheath the world's oldest club outside Scotland and make sure you view the museum. Then hire a car and hit the motorways to your games. No tiny backroads on this trip.