Bill:
Good man. You won't regret it. Just do realize that they have very specific days on which guests are allowed, and I believe it's Tuesdays and Thursdays. So if you are going to make this MUST happen, which any sane man would, you're going to have to try for the Tuesday. It also would be a damn shame to just play the course once and miss the "day" (18 holes 4ball, lunch in coat and tie, 18 holes foursome). The "day" is the golf experience that cannot be missed... Oh, I'd put the golf course itself in any top whatever list one wants to create - it is that good - but it's the DAY that's the must, not just one playing. If one playing is all you're after, then that's cool also... though I'm not sure they even allow such these days. But get your most deckled of edged stationery, grovel correctly, and maybe you could do that the Wed before hitting the train.
Of course the BEST thing is to do the day at Muirfield on the Tuesday, then play NB Wed, then head south....
Again, just living vicariously here. Whatever you do will be great.
My PS asked if this UK outing was going to disallow your presence at TKPIII, March 27-28, Rustic Canyon. You are mandatory for such events... and I was thinking that a certain other place is not all that far away...
TH