I actually think it will stop beeping after about 5 minutes of driving. At least that was my experience when I was having issues a year or so ago. But it's pretty hard to drive with the beeping going on.

OK, that aside....Step 1: let's not assume that the Chrysler dealer that you took your beauty to knows much about the Crossfire.
Step 2: Pizzaguy would probably suggest that you try to recalibrate or retrain the TCM by manually raising and lowering the top with the engine running. Get the tool with the wrench on one end and the hex key on the other end. It's still on eBay for under $30. Manually raise and lower it three times, if I remember right.

Here's the video for manually raising it, if you need it:
Step 3: Recheck the switch in the railing in the top just above the passenger's head. You can see it better if you raise the top a little and stop it. Have someone else handy to help hold everything.
Step 4: Recheck the switch in the trunk divider to be sure that it is engaging. Maybe that should be step 3 since it's easy to check.

Also, most folks would want more info on the problem. Whatever you can share about it might help.
Do you hear the trunk locking when you try to raise or lower the top?
Is the top working at all?
Any water in the trunk?
Is it still at the Chrysler dealer?