Don't forget about the annual max gift tax limit (15k for 2020). Your father could reasonably gift you 15k a year (possibly another 15k to your spouse if you happen to be married) to reduce his savings a tiny bit quicker, so medicaid kicks in a bit sooner. At that point you could maybe even claim your parent as a dependent, and help him pay for his medical costs (which I think you can also deduct?).
I'm not sure on the particulars, and certainly don't take the above as any kind of financial advice -- I just started looking into this for an aging parent myself. Though, it might be worth talking to an accountant and see what is applicable for your location.
If I understand correctly from my non-CPA googling, $15K is just the amount you don't have to report to the IRS. You can give more, up to a lifetime limit of several million, before the gifts are taxed. How that interacts with medicaid, I have no idea.
There are the local medicaid/medicare administrations and elder care law specialists that can advise on medical care as well as the various tax writeoffs and eligibility for programs that the poster should investigate now since rules vary so much from state to state in the USA, and he is talking about years of care.
I'm not sure on the particulars, and certainly don't take the above as any kind of financial advice -- I just started looking into this for an aging parent myself. Though, it might be worth talking to an accountant and see what is applicable for your location.