Your car is beautiful, and your asking price is very reasonable. Talking with the people at Park Place is a good idea, to gather info and think about it. They have high visibility and they get a lot of traffic, and you wouldn't have to deal with the no-shows and thieves and worse. They'll probably ask how flexible you are on price, which may be worth considering, but your asking price is very reasonable. And if your car doesn't get many offers, ideally you should be able to bring it home without penalty.
You've probably seen the local PCA listings:
http://www.pnwr.org/classifieds/catAds.asp?cat_id=6