David, I agree with you that #2 doesn't have much stragetic merit. Get it over the waste area and make sure you carry the little greenside scar bunker. However, there are several holes that I think contain angles and options. Here are some holes where I feel there is a diagonal element in play:
Aprroach to #1 (green front left to back right)
2nd shot on #4 (whether going for it or laying up)
Tee shot on #5 (if you lay up)
#6 (not all the time, but with the right tee/pin combinations)
#8 (green goes front left to back right)
#9 (if you are in the right fairway, the green is set at an angle so getting close to back pins requires a bold shot)
#10 (green angled front left to back right)
#11 (depends on how you play the hole, but clearly there can be angles in play. The tee shot even has them even though you don't have to carry any waste area, you want to be as close as possible to the bunker)
#12 (Both tee shot and approach can have them. A drive means you have to contend with the waste bunker, a hybrid/3 wood layup leaves an angled approch to a front right to back left green)
#13 (At least has angle considerations on the tee shot, depending on how much of the bunker/trees you want to challenge).
#14 (The water's edge is angled to the tee)
#15 (Extremely wide fairway and wide green. Choices on the correct angle cleary in play.)
So that's 12/18 (IMHO). Is that not enough?