Well, I tend to disagree with adding any type of drawbacks to Jashinism, and that's not because it'd take from me or something.
I'm going to ask a question and it's very serious;
When was the last time any of you actually tried killing someone?
In character, I would say a day or two ago.
I am sure Dark and Kirk would understand my reference.
Anyways, the only reasonable limitation that could be put on jashinism in SL is directly the affects of battle style. Hidan clearly was quite devout, and killing anyone in any other method than his curse technique would have been heretical to say the least.
Other than that, if you fill up a jashinist's lungs with water, they can't breath; as the body can die from a lack of nutrients, I think it can be argued that going without oxygen long enough would kill them too, though it would likely take longer than an ordinary person.
Since they have to have nutrients to live, then cutting off all circulation in their body (blood, chakra, etc.) would also lead to a speedier death than simple starvation. It is unlikely that a Jashinist can live without their head for more than a few days, but that is my headcanon rather than actual canon, as it is merely presumed that Hidan is still alive and buried.
Nobody went snooping around to actually check on the poor guy.