What will happen after you voluntary surrender your house?
The trustee will retain an attorney then proceed to list and sell your house. You will have no say in who buys it or at what price. You will receive notice once they have a buyer and offers will continue to be accepted up until a final date which you and all of your creditors will be noticed of.
Unless you are very confused, you know that a trust deed is what some states call a mortgage. A voluntary surrender, if done carefully and probably with a lawyer's help, can result in the mortgage being terminated with no further liability to you. The tricky part is to make sure there is no tax liability on your part due to the cancellation of the balance due on the note.