Depending on where you are, there may be a low cost therapy option. In Denver, we have MHCD, which is a large mental health clinic. But most communities have some sort of subsidized counseling system in place. Also, you might want to try to connect with other vets in your area. If one or more of them has found a resource, then that saves you from starting at square one. Look online on meetup to see if there are any veteran only clubs in the area. My understanding is to keep communicating with people who can support you about what you're experiencing and feeling. If you can't find people to talk to, maybe you can try to write about it. You can write about how you're feeling here. If you want, maybe try to write about it on a blog. The last two articles I read about combat PTSD both said that the people who have the most successful recoveries are the people who talk or write about it.
One of the things to bear in mind is that if you're not progressing with a therapist, then maybe you should try a different therapist. I saw three before I found one that was a good fit for me. Someone who was a trained Cognitive/Behavioral Therapist (CBT) who had experience with PTSD. This is the fourth time in my life that I've sought support with a therapist, so now I can usually tell in the first session whether it's a good fit.
Hang in there. Look around on the web. Maybe call the Dept of Health for your county to get some info. Keep your dog.