At my home course(s), I would definitely pick the first hole on our East course. For me, if I hit a really good one (which, for me, goes about 220-230 downwind), I can carry the creek about 75 yards short of the green. For the longer hitters, the hole sets up as a nice draw, with a speed slot at about 270 off the tee. Perfect for a long, straight drive, with trouble left and right. Early morning, this hole gets really long and into the sun, so a shot not hit solidly will leave a long iron or wood into the green.
One of my favorites was fourteen at The Country Club, where the tee shot is a diagonal one around a horseshoe mound derived from an old quarry. The safe player/short hitter, such as myself, has to play to the right, whereas the bolder player can go long and left. The carry is thrilling, and it leaces an equally invigorating uphill approach to a slanted green.
Of the obscure courses that I've played, my favorite hole for a big tee ball is the 10th at Canterbury Woods in New Hampshire. A Ross Forbes design, the course offers a lot of architectural interest on a low budget. I think Ron Whitten has it in his review library. It includes a double fairway on a par five, and has five par threes ranging from 120 to 230 (the long one is at 8, a fantastic long three over a rocky ravine, but with plenty of room to run it on the huge green).
Probably my favorite (I know it is also a favorite of the architect) is the 10th. It says par five on the scorecard, but this hole is only 484 from the tips, and plays about 150 feet down the mountain. Couple it with the firm turf (partly because of the granite base of the golf course), and you have one short par five. I like to think that if you take the 10th hole at ANGC and combine the strategy of the old version with the length of the new hole, you would basically have the 10th hole at Canterbury Woods.
The hole is a dogleg left, with the high side being the right side. There is a bunker beckoning the player down the shorter left side. However, even if the player places it in the left side of the fairway, his shorter angle will be compromised by the angle of attack (there is a large bunker front and left of the green, and the green is angled from short right to long left, and falls off left and long) and the stance, with the ball above his feet.
The other option is down the right. It gets pretty risky here, as going to far down the right leaves a long approach, and too long means going into the thick New Hampshire woodland. The ideal shot is a high hook, which catches the slope past the bunker and runs down into the center, potentially with no less than 140-150 from the green. The hole is fun for probably anybody. For a person who usually hits it about 200 yards, I hit a driver and a three wood about 25 yards short, pitched to six feet, and drained it for birdie.
This, combined with the drop shot 11th, gives potential to start the back nine two or three under par. You better turn it on early though, as the last seven holes are hard pars, easy doubles.