Help convince Grandma to move

We have had a really frustrating 2 weeks with my husband's grandmother. She is 94 years old and lives in the Bay Area. She does not want to move out of the home she has been in for over 50 years, but she is too stubborn to get help. She tries to do the laundry in the basement down stairs I don't even like to carry laundry and she gets dizzy often. Last year her doctor told her she could stay at home if she got a home- health care person to come in a couple times a week, but she has been playing games with this person. Things like doing the house work then telling her care giver not to come because there is nothing to do. We are her closest relative at 3 hours away. Two weeks ago her doctor told her she can no longer live by herself, she has to move to assisted care. I spent 2-3 days finding her a place to move to and they even have an opening. My mother-in-law visited her last weekend and almost had her convinced to move, but other family members have been focusing on the negatives of moving out (trying to be empathetic, but not being helpful). Grandma holds the purse strings, so we can't just rent the room and move her, since she will have to OK the down payment. I am afraid she will drag her feet too long and there won't be any rooms left that she would be willing to live in. She wants a full private bathroom which left us with two facilities in the area and only 3 available rooms at this time. Have any of you had to deal with very stubborn grandmas? What worked? If nothing else, keep praying that we can get through to her and get her moved up here.
Thanks,
Minta