How should I handle my mothers affairs as Power of Attorney?

I currently am Power of Attorney for my mother, who suffers from Alzheimers Disease. She has been in a private memory care facility fo a year. She has income from Social Security & Veterans Affairs which is not enough to cover her care. Also, lacking the financial means to cover her other expenses such as drugs, (even though she has Medicare), $300/monthly to the IRS in back taxes, and $3,500 credit card debt, & her house utility payments. The only asset she has is her homestead, which is still in her name. Her currently unemployed 29-year-old daughter who has lived there her whole life still resides there. Our family doesn't want to sell or transfer the house into another famly members name. What is the best thing to get my mother better nursing/assisted living memory care without losing her house? Thank you.