Best way to move 91 year old Medicaid recipient from homecare to out of state nursing home?

Mom is 91, has several health issues and is wheelchair bound. She has no assets and receives a modest Social Security and pension check. She resides in NY and has Medicare and Medicaid which provide 24/7 live in aides. Her health and mental state are deteriorating and she may be of need of a nursing home soon. I live in Virginia and would prefer to have her in a facility close to me. Any recommendations on how best to transfer her Medicaid benefits and transport her to Virginia? Should I have her admitted to a NY nursing home first and then have her transferred to Virginia or is there a better less complicated way to do this? I could drive her the 6 hours if that would be better. Thanks in advance.