Declare a MAYDAY and you go where you need to go. As a PIC you are always in control of where your aircraft may be lawfully operated. I don't imagine for one minute LB that you ever fly an aircraft where you do what ATC instruct you to do if it conflicts with the operation of your aircraft. I also dont imagine that you have ever rocked up to Controlled Airspace not having an alternate plan if a clearance is not available.