If you are willing to risk some money up front to possibly get a better price, the Mecum Indy auction coming up might be an option. I consigned my 1969 A33 GTX to them a few years back, Covid cancelled that event. I sold the car private party a year later for less than market to close a deal on a better GTX I was pursuing. Since that time, the car has been across the auction block twice, and both times has been bid to, or sold for, significantly more than book value.
What that GTX has in common with your Charger is it is red, has a 440, and is extremely photogenic. Up close, in person, that car is extremely nice, but far from concours condition. Folks who inspected it in person were able to find plenty of small issues to dicker with. On the auction block, it doesn't seem to matter. The car drew a concours level bid last spring.
Auction fees up front, and the cut the house takes on a sale, are a drawback. But a car with the positives your Charger possesses could do well in that setting, with deep pocket buyers, fueled by complementary alcohol. It's always a bit of a gamble, but with a car like yours, it might pay off. And there is something to be said for not having to deal with the dreamers who love wasting a seller's time.