I've been thinking about doing this with beef and pork ribs. "Reverse Sous Vide".
The mushy part may be a trick to solve on the ribs much less on a butt... I bet it will still taste good worse case though...
The cool thing about SV is it won't go to a higher temp than set so you could leave it as long as you want to to be sure it's done.
Good luck and let us know how it turns off if you do it.