So the concept is exclusively horny teens looking for love? Not monsters looking for love, period? Because Jason is an exception amongst the slashers. The movies really wash over this which I think does the character a disservice, but Jason is pretty clearly seeking the love and approval of his mother.
Okay, so, with this interpretation/understanding of Jason, he becomes a much more viable character for Monsterhearts.
My concern is that he's got a very static relationship with the rest of the world. He kills, he gets killed, end movie.
Now, if Jason were to have a love/hate relationship with another monstrous killer (say, Michael the Ghost), and were to spend more time trying to communicate with mother, and were to have a born-through-blood connection to the final girl (who subsequently becomes a fucked-up accomplice, but she's in love with him now, but he isn't in love with her due to his mommy issues, so they have this ugly emotional standoff)... then we'd be in business.
In short, Jason needs to be manipulable, by the people at the table - emotionally, sexually, physically.