Ok, I don't know the region and this may be a silly thought. However, the Kurds have long sought independence. Always, always this is said to be unacceptable to Turkey, Iraq, and Iran for the same reasons that Polish independence was, prior to 1918, unacceptable to Germany, Austria, and Russia. But we do not, at the moment, particularly care what Iran thinks, and partition may be the best option for Iraq. That leaves Turkey.
So: have the Turks a price? Or alternatively, what about a Kurdish autonomous region within Turkey? The Kurds would presumably want some sort of guarantees that the Turks would behave themselves, but this should be possible to arrange; this is not the 16th century anymore, at least in Turkey. So again: have the Kurds a price?