For me, I don't think the perspective that someone in counseling is "unstable" is valid at all, and would have a hard time being part of a community where this was the case. Are you sure that's just not your fear that you're calling about someone else?

But it seems to me there's more than one or two options. You have experienced recently the other counselor as "tried and true" so I'd go back there as long as the travel isn't prohibitive.

Could you actively facilitate an unnamed relationship with the person at your church, asking something like, "I'm battling some chronic pain issues and would like to learn more from your strength in your health battles. Would you be willing to talk to me sometime about your experience?"