I've accepted that it's highly unlikely that this hole will yield birdies, so I instead go for par at best.
Something I've been trying (with some success) is this: I've stopped trying to hit the green in two. Instead, I try to lay-up short of it in the rough left of the hole. If close enough to the green, a short pitch/chip aimed well left of the flag rolls up past the level of the cup, and back down towards it, leaving a manageable par putt. A couple times, this has even resulted in a bird from off the green.
I've also been experimenting with the flop from there when I'm farther down the hill and need a more elevated shot to get the ball above the level of the cup w/o it running past it. Remember that with the flop it's necessary to aim alot farther left of the flag because of this shot's natural tendency to fly right.
Good Luck.
edit: should've mentioned that this is for when the hole is in the lower part of the green.