Made these a while back and posted them on the Outer Ra'Kaznar ffxicylopedia page. The red line takes you to the key item, the blue line gets you to Inner Court. The numbers are key points to drop down, change direction, or kill a reive. Sadly, there is no waypoint at the beginning of Inner Court.
If you do not need the key item, you could go south after killing the reive at #2 and make your way west. Kill the reive near the blue route and continue from there towards the elevator. Should be quicker.