What has the human brain to do with anything?
This whole thing is philosophical at best. Physics is real whether we observe it or not. I think we settled on that one. Using subjective experience in trying to explain physical systems is bonkers.
There is nothing inconsistent or inherently problematic about abandoning locality, quantum mechanics has some intrinsically non-local components anyway. It speaks in favor of Bohmian mechanics that it explicitly describes this non-locality and isolates it.
Note however that empirical science in a deterministic world is a strange concept.
Edit: However in my opinion empirical science in a nonlocal or nondeterministic world is equally strange, if you really think about it.