moving to Hawaii is considering as international move, since the
moving companies are using containers to ship your goods to Hawaii. it more expensive than shipping and moving to England because only few steamship lines are visiting Hawaii major ports. there for the prices are higher, also because of the shipping cost the living cost in Hawaii is more expensive. some steamship lines going to Hawaii are Matson, maerskline.horizon-lines and probably there is few more.
in most cases international movers got contracts with those lines and their cost of the container are less expensive than a private customer calling direct to those lines.
not all
international movers will provide you with an estimates on your request, because not all of them will be price competitive.