Lurching problem and I'm out of ideas.

One thought other than the rear end:
You have an A999 (32RH)- Lockup convertor.
On deceleration, the convertor is not coming fully out of lockup mode; possibly locking/unlocking as you slow down causing your "lurching" feeling.
Reasons:
It only happens when hot, after an hour or so.
It happens on decel, disappears if put in neutral, if you accelerate or when brakes are applied.
Not knowing how your trans was set up/installed, I can only speculate that either the TC is failing or your line pressure is possibly low- slight chance the OD lockout solenoid isn't functioning properly, too.
Easiest thing first: verify trans fluid level. Check it hot, on level ground, in NEUTRAL. Park will give you a false reading.
Just a quick guess.

Thank you for the help.
My knowledge of driveline is weak but this makes a lot of sense to me. It also might be why the transmission shops are confused, because they don't expect a lockup is in there...

I take it to shops because I've moved to a new state with only my luggage, some tools, and the Duster... So dropping the trans in my rented driveway is intimidating. But I do need to figure out if it's a lockup.