Cotton, I am assuming your Dad has some type of Dementia. You did say he was in bed and can not get up. Can I assume that the nursing home he is in is not accustom to dealing with dementia patients?
If your Dad is non ambulatory, then what are the sitters for? If he is only calling for help, his mother, or doing Indian chants then what are the sitters doing except watching him vocalize? Have they tried any psychiatric medications to help alleviate his anxiety?
A high low bed with a floor pad would prevent any injury if he did roll out of bed. It is a bed that can be lowered to the floor when there is nobody there to attend to him. If he does roll out it is only a short drop to the floor pad which cushions even that slight drop. When the caregivers need to attend to him them they can heighten the bed to a more comfortable position for them to do what needs to be done.
As for sitters, for a non ambulatory patient, I think this is a useless waste of money. Dad was, and Mom is in a care facility that specializes in dementia care. They never had a sitter full or part time. We used chair/bed alarms when Dad was a fall risk and also a high low bed. Dad could get pretty vocal but they never had a sitter for his verbalization. The only residents that I have seen with private sitters were extreme fall risk. It was only during the time when they would forget they could not stand up, try to stand, and then fall.
If this facility does not understand dementia, then I would suggest you look for somewhere that does understand the disease. Paying for both the care facility and the sitter has to be expensive! I would try to find somewhere that was more adapt at dealing with his behavior. I would also find a good geriatric psychiatrist that could help with medication to alleviate his agitation.
Also, if the doctor request the continuation of physical therapy then Medicare will pay. They will do an initial evaluation, set goals, and the determine if they are making progress. If no progress is made then the PT is stopped after a period of time. If there are changes, anything works, the doctor can order another round of PT. I guess my question is... if your Dad has been receiving PT, has it been beneficial? What progress has been made? It is beneficial to him to continue?
Another suggestion... have you considered contacting Hospice for an evaluation. With the dramatic changes in your Dad in the recent time it might be worth getting their evaluation.
If it was my Dad... I would be searching for a facility that understood Dad's condition and that capable of dealing with his situation without the extra help!