I can empathise with your frustration of the "age" and "bad luck" responses. I was in a slightly different situation in that I had had previous successful pregnancies. But by the time I got to 6 miscarriages I found going privately for investigations helpful emotionally. I felt like I was doing something about it. After that I was offered counselling and although I did not expect it to be helpful, it was great at dealing with all the compounded grief of the previous pregnancy losses.
I unfortunately cannot offer much in the way of hope as we stopped ttc after 12 losses. They were all first trimester losses, the progesterone only made them last longer so miscarrying at 11 weeks rather than earlier.
Have you had all the possible tests on the NHS in terms of keryotyping, and all the other blood tests? I assume you have.
If so then go privately to dr rai in st Mary's or one of the others as previous posters have suggested. St Mary's offer the TEG blood clotting test that is worth getting done. The others offer the auto immune tests.
I felt that by checking everything out that at least I was not missing anything obvious. I now do accept that it is my age that lead to the miscarriages, but it took me a long time to stop hunting for the one golden egg amongst all the others. It took a huge toll on me physically as well as emotionally. With all the different medications I tried.
I wish I could tell you that it will all come right in the end, but I can say don't give up until or unless you choose to, as there always could be that miracle waiting for you, there are women who do have a baby after recurrent miscarriage, and many who conceive in there 40's. You sound like you are determined to beat the odds and I truly hope you do.