Hello Ellen, welcome to the forum.
I am so sorry to hear what you've been through, and that things are so difficult for you.
I too have PN from mesh surgery, but I've been a lot luckier than you, from the sound of things. I have not had any nerve blocks - my consultant here in the UK ( who has a special interest in PN) said that he thought they were unlikely to help in the long term, and they were not needed for diagnosis, so no point in doing them. I am sorry to hear that yours have not helped long term, either.
What my consultant suggested was that the mesh needed to be removed - he likened it to someone with a telegraph pole fallen on them, all well and good to give them pain relief and look for ways they could learn to live in this situation, what they really need is the telegraph pole to be taken off them. So he referred me to a surgeon who took out most of the mesh - I'd previously been told this was completely impossible - and freed the nerve, which was completely embedded in scar tissue. This has greatly improved things for me. I've also had a lot of problems with mesh extrusion, currently waiting for yet more surgery for that, and the same surgeon is going to have a go at taking out the rest of the mesh at the same time.
If the mesh removal surgery had not helped, then for me the next step would have been a trial of a neurostimulator. My consultant told me that they have had excellent results with this.
I have already tried all the usual meds - amitriptyline, nortrityline, gabapentin - and finally pregabalin/Lyrica which turned out to be the most helpful for me. I'd go back on it, if the pain were to get worse than it is at the moment. I don't know if you have had the opportunity to try this particular med?
And I don't know your precise situation of course, but it seems that your doctors have decided that removal of the mesh is not appropriate.
I do think that it is a good idea for you to see a doctor who specialises in PN issues, to decide the best way to move forward.
I'd also suggest that you ask for some psychological support. I was very lucky in that my GP referred me to the local psychology service early on in this journey, I had a lot of help from the CBT sessions which were arranged for me, it turns out that this incredibly helpful in pain management - I'd say it actually made more difference than any medication. Also I had become depressed, and it helped me there too.
One other thing - a book.
Coping Successfully with Pain, by Neville Shone. This was recommended to me by the psychologist, I originally borrowed it from my local library, but I soon bought my own copy as I was referring to it so much. This has helped me a lot in this journey and I would recommend it to you unreservedly.
Hang on in there, you're not alone in this.