I'll be in need of a head pretty soon. It's tickin' pretty hard at the moment.
that noise could be good, because on a properly running 22re, there is a .008/.012"(engine hot) gap for valve adjustment... that gap allows the valve to cool, as it briefly rests against the head, but it's rather annoying.
what you should do for now is to check that gap, check the compression, and monitor the oil consumption.
in the meantime, i'd be looking to mount that rebuilt head you just got to a rebuilt short block... use a factory toyota head gasket.