The plotter,
Mate of mine was interested in completing a 757 type rating, but after talking to nealy every operator of 757/767 and recruitment agents, far as china and vietnam, decided not to go ahead with it. He got the same response as you no way unless got time on type, not even prepared to take the name and number. Seems to think it's more of an insurance issue.
But best of luck to all
Ps. check your pm