I have a '65 Thunderbird Landau that is in the same general visual condition of the OP's car. I'd say that 63RedBrier's price guidelines and recommendations are pretty much on the money. I bought my car in 2018 for $2500 along with two guns as a partial trade, and it was a car that started, drove and stopped. In fact I was able to drive it more or less safely at 65 MPH on the highway before I bought it. Engine strong. (It also had a good title.)
I think of fourth generation T-Birds (which is what the OP has) as one of the last affordable cars from the sixties that is stylish, iconic and powerful. That's why I bought mine. Because they're so affordable, however, they aren't very popular at all as restoration or refurbishment projects, since examples in nice condition can be had for $15,000+, which is way below the total investment in a resto project. The OP's car is a project car. (As someone else mentioned, convertibles are a different story...more desirable with a higher value.) Good luck.