It was a 2.5A charger - but it was from a Cana kit - and plenty of people seemed to have issues with those. I have a nice reliable 2.1A tablet charger on it now. 12 hours in and not a single hiccup.
I did add a script to check the ethernet connection periodically and reboot if it drops because that seems to precede the lockup.
So far - so good.
Thanks for the responses fanatic26.