If I might add a suggestion for asphyxiation-related deaths:

How about a hanging that isn't *quite* a real hanging. Rather, the girl in question has a noose tied around her throat, and is hoisted up *very* gradually so there is a long period of the pressure on her windpipe just increasing slowly rather than building up all at once. Then, the rope stops lifting her as she is brought to the tips of her toes. If she stretches her feet to push on the floor, she can lift her trachea off the rope just enough to get a little more air and buy herself some time. However, her ankles will inevitably tire and she will have to come back down, at which point the rope will begin strangling her again more completely.

At this rate, she wouldn't be able to relax properly as her body can't get any air, so she'll be that much less able to stand up on her toes again when she wants a bit of respite.

After the fatigue slowly wears her down, she'll be unable to stop herself from just resting against the rope until she slowly strangles to death.