For the sake of whatever deity/ies you worship, GBO, will you stop treating TOPD as some kind of immutable and immovable outcome of some holy manual? It's not the Bible or whatever equivalent document you thumb through to avoid going to whatever bad place you imagine you could go.
When a real pilot in the real world is "overwhelmed and bombarded with ... systems failures" - your words - the first thing the pilot will do, after recovering from the HSM, is point the f*cker downhill in the general direction of a friendly piece of tarmac. The first thing, that is, if the pilot wants to save the aircraft and POB as quickly as practicable. TOPD calculations? Please: Give it a break.