Post it on e-bay.
Start the auction at $59k high enough so people don't just bid because they are lowballing but not so high that people think you have no room to deal.
Leave your reserve at whatever you are comfortable with.
Follow Todd's advice: lots of pics, lots of pics of the stripped body and body work done right. I can look at the plumbing routing, electrical connections, amount of goop on gasket areas, compression test, cut an oil filter, blah, blah bla... on a car yo get a pretty good idea of mechanical soundness but I want to see pictures of the prep on a pretty paint job.
You probably won't sell it on there but I bet you get some inquires that may lead to a sale.
Sure Barrett Jackson gets a lot of exposure but the seller fee is pretty steep isn't it?
It's not like you're selling a Torino, although it does have Intros,

so you'll find a buyer. You just have to find someone with the same taste as you.