Hmm, I don't think you can do too much with the SP ACR (I have the same one) as far as stepper goes. You can do an actuator test which will operate the stepper over it's full operating range a couple of times, and you can watch the throttle plate move as this happens, but you can't get detailed info on number of steps or setup the stepper motor in any way. Maybe when you get the ACR you will find an error code / codes which give a clue? Not sure if faulty stepper operation throws a code or not.
in any case, if you do have a fault with the stepper, such as not working correctly when it heats up (transferred heat from a hot engine through the casing could take some time to raise it's temperature) then there must be a cause for this. The most likely cause would be soldering problems on the circuit board inside the stepper motor casing.
You could use your ACR to do an actuator test on the stepper when it is cold and everything seems to be working, and observe the movement of the throttle disc (or look side on from the passenger side and you will see the lever move). Then you could repeat this test when it is hot and the stalling issue occurs. Maybe you will then see that the stepper is not working at this time.
In the end if you do suspect a problem with the stepper, you will either have to replace it or pull it apart and look for dry solder joints, cracks etc, and repair them through most likely resoldering the bad joints.
This is what I did with mine, and I do suspect this is what will the problem with yours.