In 1992, Hell would come.. to EARTH! Which gives two options. Los Angeles, or New York? More importantly.. how would it come together, as Miramax now held the rights to the franchise? Clive (blog post) Barker had the least influence of any Hellraiser movie yet, and (blog post) almost none of the previous characters are even science fiction movie mentioned in this one. That... makes me worry...
Source: Hellraiser III Movie Review - Decker Shado