This works for both versions of At The Drive In
Open your golf pad (the pencil icon at the bottom right of your screen).
Click right in the middle of the X to leave your mouse cursor in the center of the screen.
Left Arrow to move toon to left putting position (I've seen other toons stay in the middle position. Either seems to work.)
Tap CTRL to change to putting mode
Turn until your mouse cursor is lining up perfectly with the center of the hole in the windmill tower
(-2 only) Wait until green block has started moving away from you
Putt between 70% and 80%
This gets me a hole in one more often than not, but it is not guaranteed. The windmill can knock your ball out. And the drop chute can spit your ball out too fast to make it in the hole.
CraigC
P.S. Can I recommend you include the pictures of the courses right above the golf hints? You can simply link to them from The Dogfather's post. Just right-click on the picture, select "Properties" and you'll see the URL.