Is it right to say "it's the best of me ever been"? or "it's the best of me ever being" in biography, in order to say you are happy with your life now?
Many past participles can be used as adjectives to say the same as "that has been X".
This is the best beer ever created.
However, been generally does not work like that, it's used only in verb forms.
This is the best beer ever been
So, you have to use a phrase beginning with that instead. Typically the subject of the previous clause is close enough where you don't have to specify the subject again.
This is the best beer that ever was (or has ever been).
It's the best of me that has ever been.
Grammatically this is OK:
it's the best of me ever being.
The problem is that to be means to exist, but nothing much more than that. So the meaning of being happy with one's life doesn't really come through, you're just saying you are existing in the best way possible. Trees and other inanimate objects do that.
I'm the happiest I've ever been with my life.
is probably what you want to say.