I've found some great threads on how to find an english speaking therapist, but can't seem to find info on if a psychiatrist is covered by basic insurance. Anyone know anything about that?

Yes it is. See this.

fantastic! thanks!

Yes, psychiatrists are covered by the basic health insurance if their diploma has been recognized in Switzerland and have an "autorisation cantonale de pratiquer la médecine à titre indépendant". Psychologists are not always covered or covered for part of their work only.