doubleshotespresso - so sorry you are going through this. Firstly you need to give yourself some time. I am sure the "what do we do now" conversation will come in due course, but continue to be kind to yourself, you need time to be the "rebellious teenager" for a while before facing normality again.
Whether or not you try again I would recommend going for grief counselling, I went after about my 8th miscarriage (sadly I have lost count by now, they have started to all merge into one). I found the counselling really helpful, and has helped greatly with subsequent pregnancies and the miscarriages.
If/when you do decide to try again:
I would recommend Dr Raj Rai at St Mary's too. I went there privately after around 7 miscarriages.
He was excellent, I had fortunately had most of the routine tests done with previous miscarriages, so only had a few extra tests, such as the TEG bloodclotting test that is only done there. The visit and the tests came to around £600 approx. But for me it was great to see someone who genuinely understood, rather than the various local hospitals, that whilst ok were not really understanding recurrent miscarriage.
From my opinion, St Mary's focus more on the bloodclotting issues rather than the immunity issues, so you may be better seeing one of the other specialist recurrent miscarriage centres that focus more on immunity issues. The only positive test I had prior to going to St Mary's was a positive ANA test.
I hope that you continue to be well looked after at home over the next few days. Do keep talking about how you are feeling, it is important.