The only problem with the wir cage is where to put it should I suspend it inside the coop and keep hef in it day and night with water and food?
You suspend the wire cage from the ceiling of the hen house.
Yes, food and water in the cage.
After a couple days she's done. If she goes right back into the nest, back into the broody jail she goes. Simple.
Putting her in the house with a bath, et. al. is prolonging the problem.
Wire bottom cage, suspended, problem solved.