I suggest that you speak with an escrow officer and title officer to see if you have any options. I do not know the particulars of your locality. There are local customs that might help you, however be prepared to have "all revealed".
You may have the option of NOT having a FOR SALE sign in front of your home. Might be one of the few things you do have control over. You might also want to ask for approval of all advertising related to the sale, included printouts from the MLS.
Personally I think "seller desperate to sell", "seller will look at any offer" and similar verbiage is completely inappropriate and weakens your bargaining position.
Best of luck to you.