Seriously, on past experience I’d suggest if your wife wants out then she leaves the house. Seen it happen a couple of times. Man moves in with mate. ‘Try’ to sell house, takes 12 months to sell, man feels guilty about putting on mate so rents flat and ends up skint paying for rent and mortgage. Suddenly wife doesn’t want to sell house and a man starts answering the door as your keys don’t fit anymore.
If she wants some space then let her have it. Stay put if you can.
And this will sound terrible, but make her feel guilty. It’s not your fault. You’re potentially both going to lose a house, can you do a deal with an endowment or somethng for her in exchange for the deeds?
But best of luck. Still young, curse you. I met my best friend after getting divorced an we have a beautiful daughter/house/life together.