I think everyone on this Forum is Sympathetic to your situation and Wishes you The Best of Luck !
Two comments I would make, and hope they may help or encourage.
According to the recent TV Documentary the UKBA cannot insist on someone leaving the UK if there is an Appeal waiting to be Heard or Decided Upon.
And when my Fiancee had her Visa Application Refused, the UKBA also Refused her the Right of Appeal.
But when we took our case to the Immigration Advisory Service their experts said the ECO's Decision was SO OBVIOUSLY WRONG that they would LODGE AN APPEAL REGARDLESS.
If you can register your Appeal in time, even if it subsequently gets dismissed when it comes to Court, at least it will give you some MONTHS in which to comply with any other requirements.