Welcome to the forum, you will enjoy it here.....

Sounds like you have a nice low mileage Z......
What I don't understand is how your mechanic determined that you have a trans problem and would have been ready to order parts if he could get them!!!
Did he tell you what parts he thought were defective and needed to be replaced???
Just buying mine back in April, I probably have the same or similar noise that you have....when you depress the clutch pedal, noise goes away, of course when you let the clutch pedal out and put the vehicle in motion, the noise is present. I thought it sounded like the throw-out bearing, and another member also mentioned that it could be the pilot bearing making this noise (or sound).
Either or, apparently it is no biggie, I have no problems driving with mine with that noise, in fact I just block it out, and don't even notice or pay attention to it anymore.
Why did you have it towed????
Does it not move under its own power???
Is there any problem putting the vehicle in motion and shifting the trans???
You mentioned that you drove it 3 miles 2 years ago and parked it, don't you think that some "things" might have dried up a little over that time, and need more movement to get everything properly lubricated once again???
If someone drove you 3 miles and parked you for 2 years without any movement, what do you think would happen to you???
I think you should drive your Z, unless it won't move under its own power and is making such a noise that in fact it would indicate that something is broken...JMO