I think Mason is the starter right now, unless they trade for Hiller who is my first choice.
Here is my list of possibilities I would start with:
Hiller: Gonna cost a lot in a trade; will need to be signed this year
Khudobin: Unrestricted FA with potential, my 2nd choice
Greiss: Unrestricted FA with a little potential
Luongo: Only on a cheap short contract after his buyout
Nabokov: Only on a cheap short contract
Thomas: Only on a cheap short contract
Halak: Only for a cheap trade; will need to be signed this year
Pavelec: Just throwing him in here if Winnipeg finds another starter
Neuvirth: Would Washington trade within the division now?
Theres also some young AHL goalies that I would inquire about to see how much it would cost in a trade, to get some depth after Mason:
Kuemper (minn)
Svedberg (bos)
Hackett (buff)
Cal Pickard (colo)
Campbell (dall)
Mrazek (det)