I have a 2002 XLT 3.0 AWD that had a similar issue but was not leaking at the oil separator.
Mine (and likely all others too) had a deteriorated (softened) elbow at the front valve cover. When the engine was running, it would collapse under the negative pressure (aka vacuum). This resulted in poor performance and oil leaking while driving. It did not leak in the garage while parked so it was very difficult to find the cause. I did find some information on another forum that pointed to an issue with the PCV, which I decided to replace. In the process of removing the old PCV, which I never was able to remove, I found the aforementioned elbow. Unfortunately it must be purchases as part of a larger assembly of parts. You can find it at FordParts.com under Emission Control > Crankcase Ventilation System. Part number for the assembly on mine is 6758A.
The parts guy at the dealer said this is a very common problem. I find it hard to believe that Ford has not been proactive at fixing such a minor issue with a dedicated part number and/or improved part that does not deteriorate as this part does. The rest of the system uses much more solid components.
Hopefully this information helps others with this problem