Is it time for a nursing home for my elderly father with dementia?

My dad has dementia plus type 2 Diabetes, an essential tremor (Parkinson’s?) We don’t know and at this point with little money left I’m not undergoing fancy tests. He’s 84. He can hardly get around anymore and needs almost everything done for him, though he is still continent. His little bit of money will be gone by calendar year end. His income is slightly above the limit for state special assistance for assisted living. It appears our only option is nursung home Medicaid bed once his money runs out. I am unable and also unwilling to take on the crushing debt to continue in home care because I do not have a financial safety net and I’m not putting this on a credit card. I have no income right now and enough savings only to see myself through two months. Shouldn’t I just place him sooner rather than later in s nursing home? I don’t see an alternative.