Each to his own said the lady as she kissed her cow.
I just spent a few minutes going through the first half dozen or so pages of the forty pages of NYC escorts. Some are clearly not handsome IMHO. Some are, again, IMHO, handsome, but not classically so. or at least I wouldn't call them classically handsome. Some might be called classically handsome but, IMHO, I don't find them attractive because of other aspects of their appearance. For others, it depends on the pic. For instance, this guy's lead pic is, in my view, classically handsome, but some of the others aren't: https://rentmen.eu/Gabrieldasilva
Frankly, without knowing the OP's view of what constitutes "classically handsome" (for example, does facial hair qualify or disqualify?), it's difficult to respond with anything other than a poster's own highly subjective view on the issue. For instance, if a beard is OK, then BigBoyJoey is a good candidate. If not, maybe Alexander Volkov.