Kerley,
It shouldn't be hard to find in your area without travel. I live in Atlanta and get a lot of my parts for restoring from the guys at The Last Detail. They are a Vette parts company sitting in the same complex as Buyavette.net so I'm in their lot several times a week and see a slew of cars there. Attached to that same group in the same building is MC Corvettes who do repairs and service. I did a quick check and saw an 85, here's a link I found on Craigslist for one of theirs:
http://atlanta.craigslist.org/nat/ctd/1509884439.html
here's their site:
http://www.buyavette.net/
Catching Airtran to Atlanta from Chicago shouldn't break the bank. Buyavette has been selling Vettes for a long time and always has over a hundred Corvettes in inventory, most all are southern Vettes so no road salt! Give them a call and see what they can do. They have a lot of cars (most likely a little more cost) that carry 100k/5 year warranty also. No, I don't work there or get anything just was over there today getting parts then saw your post.
Good luck in your search!