I like thinking about things like this from time to time and this seems like a pretty good place to share some of those thoughts.
I think my favourite type of hole is the sort where you get to choose on the tee where you would like the difficulty to be. The two best examples that I can think of are the 6th and 16th holes at Pine Valley. On the 16th hole, you stand on the tee looking at a vast fairway bunker that you need to carry to reach the fairway. On the left side, the carry is relatively short, but on the right side, the carry is up to around 270 yards or so. Once you're in the fairway, you have a shot to a green that slopes sharply off on the right towards the lake. Thus the further left you are from your tee shot, the more you have to play your approach shot towards the water. The further right you are, the easier your approach shot.
Upshot of all that is that if you take on the tough tee shot and pull it off, you're rewarded with an easier approach and if you take the easy option off the tee, you suffer the consequences on your approach shot. The 6th is fairly similar except that the hole also turns to the right, so the longer carry results in a shorter approach shot. The first time I played the course I ended up going for the carry (for the record I didn't mean to) and it took me three more goes to get back to the fairway. It's a devilish hole if you mess it up, but it's also pretty easy to play in 5.
Earlier this month I was playing with Brian Sheehy at Walton Heath and I realised that the 13th hole on the Old (when the course is playing properly) is somewhat similar to that. It's a dogleg to the right par 5 of around 530 yards. There is a vicious bunker on the corner of the dogleg that I am always trying to carry and always discovering that I can't. If you play the hole sensibly though, the tighter you clip your drive to the fairway bunker, the shorter your second shot and therefore the more reachable the green is, but if you go in there, you're going to have a tough third.
There are also similar things that happen on or at the green. Again looking at Pine Valley, the 13th hole is a great example. You have acres of fairway out to the right, and just total death if you go left. I found it extremely difficult to hit it at the flag there because subconsciously it's so much safer out to the right. Then you get down there and realise that you have a really difficult chip from the right because of the slope of the green and surround.
Of course then you walk over to 14 and you stand there looking at a do or die shot.
Yet another way to create the same situation is to have a narrow landing area if you hit driver, but much wider if you play up short of it. Then the trade off becomes do you take the risk with driver to give you the shorter approach or do you accept the longer approach shot in return for safety off the tee. The 13th hole at Bethpage Red covers both options in spades. As has been discussed before you have three real choices. Lay up in the middle and leave yourself a long shot. Play long down the right and leave yourself a short shot, but with a poor angle. Or play long down the left and leave yourself a short shot with a good angle. The lay up has the least trouble, followed by the long down the right with the most trouble around if you go long and down the left side. Great hole!
So, that, in summary, is my favourite type of golf hole. Critiques, suggestions, additions, alternatives all welcome.
Cheers!