New window regulator but glass still hits convertible frame.

[particlewave]

That's most likely a faulty door lock/latch mechanism microswitch.
The door handle microswitch tells the car that you are opening the door, so it rolls the window down slightly. The door lock mechanism tells the car that the door is closed and to roll the window back up. I believe you have to replace the whole lock mechanism.

Check with Woody (member itsnotanova). I bet he could set you up with a good used one fairly cheap