Ok here we go...

Computer A:
An i5 Mac mini running 10.12.3 and 4 GB of RAM.
You say 4 GB isn't enough, but the memory pressure never gets outside of the green zone, so this must be crashing long before RAM becomes a factor. This one doesn't crash, it just goes unresponsive and never comes back.

Log Snippet:
http://pastebin.com/DcR0kwCt



Computer B:
An i7 quad core Mac mini running 10.12.3 with 16 GB of RAM.  This one crashes hard with lots of application errors on it's way out.

Log Snippet:
http://pastebin.com/5KUWYgck



That's all I have. My other computers are i5 laptops very similar to computer A. I have one older Mac Pro with 20 GB of RAM and xeon CPUs, but Bitcoin Core requires 10.8 or newer, and that old Mac can only run 10.7.