If you really were going for something that's totally like Jason, you coul make it tied to a certain area and have it respawn in that area when it does. It may also incur certain penalties for not being there.

And as far as Jason movies go, I never really considered Jason X or anything involving Freddy Krueger Jason canon, so with those limitations I do believe he was limited to Crystal Lake in most of the films.

It's somewhat similar to a dryad, except it would obviously be undead and not quite so limiting. Even if no penalties are applied, it can still be tied to a particular place and raised there if killed in a similar fashion to a lich and the phylactery.

I could see this going as either a template, a straight-up monster, or a monster class. I kind of like the idea, but I don't know which way to take it. If you have a preference I will to my best to cater to it.