Dear Chip
Given the fact that your insurance coverage for therapy is limited, I would recommend that you contact your local community
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Mental status tests health which can provide you information about different sources that are available. You can also discuss your concerns with your therapist. Good luck.
Don't set your sights too high: instead of looking for a psychiatrist or psychotherapist, try a social worker or a "counselor" (hopefully with some educational background).
If you're religious go to the "leader" of your religious community (pastor, priest, whatever) and either talk to them or ask them for suggestions. If you don't want them to know what's going on in your life, just say "I'd like to talk to someone about a couple of things - is there anyone you might suggest.)
I don't know if you're male or female, but look around for a support group. This is a lot easier if you're a woman, they're generally low cost (sometimes free). If you're a man, it can be a bit tougher depending on where you live. Contact any men's organizations in your area, even ones that might be slightly off topic for your issues.
Contact any self-help organization even if it has nothing to do with you (grief, divorce, abuse, etc.) They may be able to suggest therapists who see clients that are dealing with what you're dealing with as well.
If you can handle rejection, you can just make some interview appointments with a couple of therapists and once you get your foot in the door explain your financial situation and try to work out a payment plan. (this is a real crapshoot and I wouldn't recommend it unless everything else failed.)
Finally, go to some of those healthy or new age bookstores or groceries (here we have Alfalfas and Wild Oats). They often have bulletin boards where people providing counseling services post cards and where flyers for support groups are posted as well.
Good luck.