For checking the continuity, you can disconnect the connector from the ecu.
This is the only page in the online fsm that shows ecu wire colors and it's not complete. Hopefully you have a hardcopy fsm.
http://www.300zx.co.uk/cgi-bin...tal=3 Basically, you need continuity from that black wire to the ground at the ptu. A fix would be to run a jumper wire.
The last guy that I chatted with, with a virtually identical problem, ended up buyimg a new efi harness which fixed his problem. I'm not suggesting that a new harness will fix your problem tho.