There is something else they can refuse to do.
Ignore authority.
Simply refuse to leave.
The 15th comes, they operate as before.
The bishop comes over, they tell him to leave.
They don't let him in the door, etc.
He or his men physically push, you push them back.
Continue to operate and state that the bishop is apostate, and that you will continue as before.
At that point, he will have to turn to legal action to do anything. He cannot use physical force himself. To get the physical force of the state involved, he will have to go to court.
So make him.
And in the process, burn up all of the parish money and hock everything to the gills. When he finally gets possession, leave him with debt and liens that will further deplete his resources.
Um. In ECUSA in nearly all cases the bishop owns the property. So encumbering the property is likely to result in a lawsuit against the Vestry.
We avoided that in APCK (in fact the canons basically forbid it), but they still do not allow a consecrated property to be encumbered.
Probably not the Christian thing to do, but then again probably exactly what I would advise too. Sounds like the heresiarch of Connecticut could use a lesson in winning legal battles and losing legal wars. It can be astonishing how fast my brothers and sisters in the law can gobble up the funds of a diocese. Both the Orthodox and the Romans know all about it, though for rather different reasons.