grewupjw69, I really sympathise with your predicament, and I also agree that a carefully composed letter is the best option as you are in complete control of what you write and your father will be able to read the letter over and over again.
In my humble opinion the letter nugget has composed is perfectly worded and shows compassion, humility, the true remorse of a daughter who has grown up and deeply regrets the hurt she caused him during her younger years, but most importantly, it shows love.
A letter like this will prove to your father that you have not rejected him and that your dearest wish is to re-kindle your father and daughter relationship, which should be a comfort to him at the very least. Even if he does not respond immediately, he may go back to that letter and re-read it and, given a bit of time to digest it, will hopefully respond positively to it.
My very best wishes to you, my dear