Hi...

Thule is a well know innovative rack provider...

From Thule http://www.thuleracks.com/

"The following are a list of rack options for your,
2004 Chrysler Crossfire

At this time we do not have a multipurpose rack system that we recommend for use. Please look at the other possible solutions for your vehicle listed below. You can also get more info by using our Dealer Locator to find a Thule Dealer in your area that could advise you on other options for your vehicle.

Hitch Mount Option
Does your vehicle have a receiver hitch? Many vehicles come with a hitch installed, or a local store may be able to add a hitch to your vehicle. Our hitch carriers fit 1", 2" and ball mount/draw bar style hitches. Check out this section for different types of hitch bike, ski, snowboard, and luggage carrier options available."

Maybe call 'em and see...

Dave...