A person, usually female, whose voice is hot & sexy, but who's fat &/or ugly physically -- i.e. they'd make a great sexy model on the radio only.
Buddy: So I got this wrong number last week -- she sounded HOT! So I talked her into meeting me for drinks. Turns out she weighed about 400 pounds!
Friend: sounds like a radio model!
Buddy: I fucked her anyway!
Friends: Youda man!