Unsafe situation LTC

Any advice on how to handle being the charge nurse when you have a patient that is clearly not appropriate for LTC but there is nowhere else for her to go? The majority of your time is spent keeping 1 Resident safe, requiring 1 on 1, 100% of the time, unless she sleeping, which she does not sleep much. Behaviors include: punching, pinching, pulling hair, biting,standing up and attempting to walk which will result in a fall if you don't immediately assist. She takes the strongest psych med available for our use and the pcp will only prescribe tyl and Ibup for pain. She is clearly always in pain, c/o pain to back, and we believe that is why she constantly stands up, then sits, then stands, then tries to walk...etc. It is impossible to get through a med pass without being interrupted every couple seconds, taking her with you at times. He son said she has a hx of alcoholism and behaviors and is unable to come and visit her due to distance. Administration gaslight us saying she isn't that bad and there's nothing else we can do. She needs a sitter at the very least, but more appropriately, she needs a pschy unit. We do love her and she can be the sweetest person, but then mood flips sometimes out of nowhere and she becomes violent. Any helpful advice would be appreciated.