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 action movie reviews now held the rights to the franchise? (blog post) Clive Barker had the least influence of any Hellraiser movie yet, and almost (blog post) none of the previous characters are even mentioned in this one. That... makes me worry...
Source: Hellraiser III Movie Review - Decker Shado