Have you and your L considered offering a buyout on the spousal support? I did that and was able to pay off the whole kit and kaboodle by refinancing my house. One drawback for you is that you cant write it off on your taxes like you can with monthly spousal support. Also, an alimony buyout may be better for your STBXW because she would get money to buy her house and she wont have to pay tax on it like she would with monthly alimonly.
It would be to your advantage to get the financial portion agreed on soon before your STBXW loses her job.