Have you done the hot water test with the AAV yet? Drop the coolant and remove the AAV. When cold, you should be able to look down the top port and see a Vee shaped opening (open when cold). Place the AAV in boiling water and you should see that Vee opening close off. If the AAV is permanently stuck open or closed you are never going to be able to get a satisfactory idle. There are rebuild options for the AAV; but, I have no idea how well or if they work. Its possible to retrofit the later style AAV from the K jet or the even later 2 or 3 wire electric valves from the L jet which would require a stand alone processor of some sort.
When you did your TPS set up, did you check the operation of the auxiliary contacts in the TPS. The D jet manual specifies the status of the contacts depending on the position of the switch. The Djet has a fuel cut function to cut fuel during de acceleration which is controlled by one of those aux switches. I think the other switch has to close to put the D jet into idle control mode.