My mother lives with me and I am her primary care provider. She has been on Medicaid since 1999 (I think; I know it was the '90s). Everyone in the community knows this: neighbors, friends, family, her doctors, etc. I own the land our mobile home is on. She gave it to me about 14 years ago. So the land is in my name. However, the mobile home we live in - which sits ON my land - is in her name. If she has to go to a nursing home, can they take the mobile home?
The land is in your name so there is no concern there. I live in NYS and have known children of homeowners who have both gone into a nursing home be able to remain in the home. I don't know what happens if they move out. There are so many questions here for you but I personally would be very optimistic about the outcome for you. Good luck