Btw, some dealer ships may not choose to buy your trade in, and are placing a call to a guy that is making a sight unseen deal with the dealer.
If I had to sell my Jaguar, I would likely not go private party sale unless to some one I knew that when I mentioned I would sell, said they wanted to buy. The "extra money" I might get for it wouldn't be worth the time and bother for me. The demographic buying a used Jaguar are probably out of their minds, I should know, I did it.
On the other hand, with my 944's, I think it'd be interesting some of the folks I might meet that would take an interest in the older car. I'd probably list it and go for the adventure.