If the condition of the boat and sea state does not put the coast guard vessel in harms way, get all non necessary people off of your boat and look the coast guard skipper right in the eye and tell him with authority in your voice:

"I am the skipper of this vessel. If you want to save me you have to save the vessel."

I would not have abandoned my boat. Sea Tow is cheaper than a boat. I have been in similar situations in the Atlantic Ocean and it has worked for me. Also be prepared to back up your statement.