this is not legal advice but all
bankruptcy will do is put you on a repayment plan. If you do not make your mortgage payments while you are in foreclosure the mortgage company will motion and get the house released from foreclosure. Back to square one and now you
have a bankruptcy on your credit also.
Deed-In-Lieu - Not possible, you can not file a DIL if you have a sale date let alone a week outside of the sale. You can possibly get an extension if you find a buyer that will buy your property do a
short sale on your property, contact a realtor in your area and ask about a
short sale.