Post the numbers from your checks with details about what leads you are connecting to. It is possible that the harness connector to the CDI has a loose connection (the metal contacts inside the plastic connector shell) but this is tough to diagnose. Make sure that the connections to the CDI are plugged in all the way.
Also, explain what you did to perform a continuity test. You said the ohms were good but failed continuity. These contradict each other...
- Frank
1984 200ES Big Red
1985 350X (x2)
1986 350X
1986 250SX
1984 Auto-X
1984 ATC70
1985 ATC70