Oh, I know. If strangulation as a general matter is still free game, and it's just hanging you're a bit tired of at the moment, why not a nice, long strangling with a cord?

Maybe we could channel an old high-school fantasy of mine, wherein, generally, one girl would find herself intimately attracted to one of her classmates (these are all girls, of course; all the better for more crushed throats as far as I'm concerned), and she tells one of her teachers (the young, sort of mid-20's star of a Middle Schooler's wet dream) about how much she wants that classmate. She and the teacher would talk about how wonderful it would be to strangle the other girl and enjoy watching a cord dig into her throat (at least for me, there's a lot of a neck fetish fantasy associated with this).

The teacher suggests that the student should go ahead and strangle the other girl in class next chance she gets, so the girl agrees and waits until next class session to strangle the classmate with a cord pulled tightly around her throat.

The fantasy then focuses on watching the cord constrict the victim's throat while she fights to breathe, and while the teacher mocks and fondles the dying girl.

The focus on her neck and throat is mostly a personal touch, given my own sexual fetishes, but if it strikes your fancy to include that emphasis in description, that would be lovely.