Uncontrolled airspace = do what you want! Airmanship is all that matters, If you want to climb higher for whatever reason then do so. However, be aware that the missed approach altitude has been certified to be safe and all
other traffic will expect you to climb to that level.
Regarding high rates of climb... why bother? You could just creep it up at a 1000fpm. There's no reason to shoot on up there.
Amadis. I have no idea what you're talking about. Nominate is the perfect term to use in this context. Is English a second language?