Ah, a thinking pilot. I've discussed this scenario with many views under training using the 'what if' format. I was amazed how many just went for the one size fits all full on ED. When this other airmanship option was discussed there were wide eyes and "are we allowed to do that?"
Ehehe unfortunately nowadays some terminology such as "airmanship" and "sound judgement" seems to be gone out of the window and everything is left to "let's just apply the procedure". Nowadays with the implementation of the Evidence Based Training we are trying to have back thinking pilots at the controls as history shows that failures and situations in general rarely develop in the way we have learned them in the SIM and a good understanding of "what is going on" is paramount to be safe rather than just sticking to some kind of "there must be a procedure somewhere".
Just my 2 "off topic" cents