How can I best position Olaf for Effective Jungling Axe Throws?
Solution 1:
After many more attempts, I have come up with the placement (at the Red buff), but I do not yet have a screenshot to back it up. I will attempt to explain it as best I can, and will try to get a screenshot at some point, to update the answer.
The biggest issue I was having was that I would throw the axe, hit all 3, but not be able to pick it up to lower the cooldown, without moving. What I've found however, is if you stand behind Red, between Red and the smaller vertically aligned creep, as close to red as possible without attacking, you can throw the axe to the other side of Red (so that your cursor is the red attack sword, but it is on the opposite side of Red.)
It may take a bit of experimentation, but this seems to hit all 3, and causes a reduced cooldown. The axe has a larger radius of effect than I expected, so you do not need to place the cursor all the way on the far creep.
Hopefully this helps someone. If no one else, it helped me.