For anyone that's interested in the nuts and bolts of this challenge, the equation is a simple one:
Every hole, whatever the course, would ordinarily require a drive and a putt, which would be 36 shots. This leaves 39 shots to play with, which could all be from the sand. However, every time you holeout from off the green, or max out in the sand, you are saving one of those putts thereby increasing the number of sand shots you can play.
The choice of a par 3 course is an obvious one, because you get to max out 5 times, play 4 other bunker shots, and score 9 twos for 75 shots with 44 out of the sand. Any holeout gives you a chance to surpass 44.
Is 40 possible on a regular course? Yes. Maxing out in the sand once gets you to +6. At Kiawah, where there is sand down the side of every hole as far as I can remember, you only have to play the other 17 holes in -3 to get back to 75 (but don't miss that sand, and don't miss any putts!). If the fairway bunkers at Bethpage are all 20/25, that's probably manageable too. You'd only have to play the other 17 holes in -1. At Wolf there must be enough birdie and eagle chances to shoot -3 for 17 whilst plotting your way around the bunkers.
Is 41 possible on a regular course? Hmmm. Without a lucky holeout, 2 sand max outs gets you to +12, so you'd have to play the other 16 holes at Wolf or Kia in -9 (or BPB in -7) with no missed sand or putts. Seems plausible, but hard.
42 on a regular course seems unlikely because that would require +18 from sand max outs alone and only 15 holes to recover 13 or 15 shots.
I think the best challenges would be to beat 44 sand shots on a par 3 course, or shoot 41 sand shots on a regular course (for which I'd recommend Kia off the red tees).