Sorry to butt in but can i ask how you judged how much pitch up to apply?
Hmm post back again...
The unfolding sequence over 2 years has given the profession plenty of time to consider how one would have dealt with this situation so in a sense you must have figured out what you hope you would have done. if not 'primed' for action allow a minute to stabilize the brain and that must add another 10k ft at the rod experienced. i realise the issue was how not to get to that situation in the first place but understanding the option space does inform any potential mitigations .