Thanks very much for many great suggestions. I'll give the CC a chance to resign (She has said she wants to, but....) and move the troop to a different CO. Short of that, I can't accept the liability of the current situation. Hueymungus, yes, the COR is basically "Two Parents of a Kid who used to be in the Troop".
jpstodwftexas, I want my Eagle Scouts who are staying with the troop to be able to sign off on basic rank requirements through First Class, not SM reviews or BORs. I know in many established troops it is quite common for the boys in leadership positions to sign off on other boy's rank requirements. I'd actually like to push this down to Star rank signing off since they would then be more engaged and need to stay current with skills. I know different troops have different ideas, but we've been a troop for over 35 years so it seems that something is wrong if we don't trust (and can't monitor and guide) the boys so they can sign off on junior Scouts rank requirements.
And yes, more training is something I definitely need. Heading to Wood Badge soon.