I agree with others. I would waitist the DFW-OGG-DFW flights. Tell the agent to NOT do the BWI flights yet. If either of the longhauls clear then try and get the BWI flight. If they can't clear BWI at least you are only spending your miles and dollars on the better flights.

That being said, your chances are somewhat slim. As non status you are at the very bottom of the list. Paid business class to the islands is not that expensive so many times the cabin is sold out with paid passengers.