OP, I suspect you are considering this plan because you fear loneliness and financial problems. I suggest that if finances are a problem that you sign up for subsidized senior housing in your community. If the $500 per month for a room is important at this time, find the niece or granddaughter of family or a friend who needs a moderately priced place to stay to rent the room. Be sure to formalize the arrangement with a lease.
Once you retire, you will lose so much of your social (ie work) life. Consider moving into a senior apartment complex that offers activities, transportation and other senior services. Moving while you are relatively healthy will make it easier. In my area there are complexes where the apartments have traditional kitchens but also the availability of daily community dining, home health aids, transportation, and many activities from the visiting dogs to crafts and religious services. Your religious community may even sponsor one.
Once you have support from the community you will not long for this long distance relationship.
Take advantage of the senior legal assistance programs to make sure you have an estate plan with power of attorney, health care proxy, etc. Everyone needs these current as they age. Your family and other who may need to step in to help you will appreciate you taking care of the legal issues before a crisis.
I too am elderly and fearful of being alone after my spouse passes - and for having him cared for if he survives me. Life as a senior citizen can be very complex even though you have all the time with nothing you are required to do. Surround yourself with new friends and caring caregivers for this next stage in your life.