Not wanting to accept help or to seek it out is probably one of the biggest problems faced by people in your situation, which must mean managing one crisis after another and constantly being in an emergency-response mode.
I hope you'll be able to find help when/if it's needed--competent people are out there. The resources are often surprisingly available--though they do often turn out to be costly.
At least you can see the humorous side of your father's condition. Bravo!