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From: Middle TN by way of KY, OH, VA, IL, CA, FL, NY, SC, HI
Professional appraisals are available at a cost.
However, the guys here are very knowledgable on the C2 market and conditions, and can provide a pretty good estimate based on pictures and data you may provide. I would suppose that the folks here could provide an estimate, with adequate data, that would be within 10% of what it is worth, without ever seeing the car.
In the end, any car is only worth what someone is willing to pay for it, or in other words, what the market will bear.
You can also search the internet for valuation calculators (lots of them out there) and insurance values.
Condition and how it was built (coupe, vert, what drivetrain, options, etc.) are key.
I don't know your story.. but as the inheritor of my dad's 1-owner '61, I would advise you to think long and hard before selling.. I can't begin to tell you how much satisfaction and enjoyment I have had restoring it (with my son). Although yours looks to be in much better condition!
Also, one-family cars with complete documentation are pretty rare and special.
From: Middle TN by way of KY, OH, VA, IL, CA, FL, NY, SC, HI
Not sure if you are valuing it for sale or insurance, but that car appears nice enough and original from what you're shown so far that you should avoid any snake-oil salesmen trying to low ball you for it, and get a knowledgeable professional involved - it's highly probably that car is worth it.
As said above, there are easy and cheap things you can do to place it in a near original condition (cooling system hoses, air cleaner body, etc.) that will return several times their cost in return on investment.
If you have original documentation (the more the better) and old original pictures of the car, then the value again goes up.
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