Science itself is a constant quest for knowledge or a certain type of truth but it can be too rigid and not open minded enough when something appears to contradict current thinking. But that's how new paradigms and narratives evolve. Once upon a time the earth was flat. Once all the other planets revolved around us. But unthinkable evidence came along and the paradigm shifted.
So maybe something suitable will develop to explain NDEs although somebody is probably going to have to play Gallileo before it's accepted.
This sums up my thinking on such matters. I think you can embrace science and acknowledge that science has yet to explain everything.
I'd like to write more, but have to run.
Thanks for posting this dairy. "Pretending that you already know the answer when you don't is not actually very helpful." ~Migeru.