It sounds like the lady you spoke with didn't really know what she was talking about because you absolutely can install a base plate on your Chrysler Crossfire.
The Blue Ox Base Plate Kit # BX1972 is what you'll want to take a look at. This base plate is going to require some minor drilling and trimming of the air dam for installation, however.
You're also going to need a tow bar # e47ZR, a braking system # BLU37TR, and a wiring harness # RM-15267 to complete your flat tow setup. view full answer...