He is all but assured of returning to Muirfield Village in October as part of the Presidents Cup team.
Muirfield Village was a course he knows well, with a record five wins.
Andrews and other current Open venues Muirfield, Turnberry, Royal Troon and Carnoustie.
Mr Smith said he remained opposed to plans to close Muirfield and Timmergreens primaries in Arbroath and replace them with an amalgamated school at Hospitalfield.
But a one-over 73 left him with much to do to win won of the four spots available for the July 18-21 British Open at Muirfield.
Turnberry stands out as the most picturesque of those courses, while Muirfield hosts the world's oldest golf club and Carnoustie is often regarded as the toughest.
The world No.12 carded a torrid seven-over-par 79 on day one at the Muirfield Village Golf Club, his highest score in 43 rounds at the venue.
The 46-year-old made his debut in the historic American loss at The Belfry in 1985 and played again at Muirfield Village in 1987 before a 12-year gap.
The other regional can't-miss highlight is Muirfield, a popular British Open venue, home to the oldest golf club on earth and a perennial top five in the world.
As usual, Muirfield produced an Open winner of undoubted quality.
The likes of Carnoustie - the venue for the 2007 Open - St Andrews and Muirfield fall into the category of a links course while the Belfry, for example, does not.
Casey and Westwood are each bidding to become the first English winner of a major since Nick Faldo won the Masters in 1996 and the first English Open champion since Faldo triumphed at Muirfield in 1992.
Muirfield Village was such a demanding test that Tiger Woods had two triple bogeys in the same tournament for the first time since 1997 and wound up with the second-highest tournament score in his career at 8-over 296.
He has had to defend himself from criticism over the work he is doing with coach Sean Foley to rebuild his swing, but if Woods needs evidence of a turning point in his fortunes then he will look no further than the 16th hole at Muirfield.
Another no-brainer scenario for a top golf tour operator is when you are planning a truly luxurious and over the top trip: just decided to give yourself a spur of the moment whirlwind golf trip through Europe that visits Royal County Down, Ballybunion, Muirfield and Valderrama, linking these epic but hard to get on courses in different countries by helicopters and private jets?
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