I've searched Google for "driving out evil spirits Shinto", "shinto exorcism", and "shinto exorcism rituals" and "shinto exorcism rituals locations", and from that I know that she's probably going to need an ounusa or haraegushi to shake around, but I don't know any details other than that. Are there any particular chants that might go with it? She has a severe speech impediment and mobility issues; would that, ritualistically speaking, mess it up? If so, could she get one of her teammates who don't have a speech impediment but don't actually understand Japanese to do it by rote?
I've also found a lot of stuff about purifying people, but they can't exactly make one of these "Nightmare Ships" go sit under a waterfall.
Any information on other religions' exorcism methods would also be appreciated for if/when the Game Master decides that this doesn't work, but I figure I'll research those separately when the time comes.
ETA: Talked to my GM and linked him to this. We both agreed that the fact my scientist is an abstracted consciousness still imperfectly plugged into her body's timey-wimeified remains (okay, she's a sci-fi zombie, but we're very determinedly Not Using The Z-Word in-universe) is going to be prohibitive to her meeting the ritual purity requirement, so she's going to be giving one of her teammates the supplies and detailed instructions, which include "avoid me and [other undead teammate] like the plague for a week or so". I've also ordered a used copy of that book mentioned and will probably end up taking a lot of notes from that. Thanks, everyone! :3