Hi @Mouseorchestra7 I can't give you as comprehensive a response as @Gardenlady543 but I can give my perspective/experience. The first question I would have is how old are you? Age has a huge bearing on the likelihood of a euploid ('normal') blast, far more so than the grading.
I'm 41. I got two blasts from my first round of IVF, a 5AA and a 4BB. The 5AA was a fresh transfer, and BFN. There was no suggestion of any tests at that point, failure was put down to the high likelihood that my age meant the embryo was aneuploid. I left my 4BB in the freezer and did a second round before I aged too much more, and got 5 blasts that time (freeze-all due to OHSS risk).
My first FET from that second round was another 5AA, and another BFN. At the follow-up review I said I wanted to know whether there was anything I should be investigating. The consultant agreed that after two top quality transfers it was worth doing some tests, even if my age meant the euploid rate was probably the main issue.
I had thrombophilia tests and auto-immune tests, neither of which threw up anything much but the consultant suggested low-dosage Clexane injections would not hurt for my next FET. My third transfer recently was a 4AA, natural FET, with cyclogest and Clexane from 3 days before transfer. I also had an endometrial scratch in my previous cycle, which has mixed evidence for it but my view was it doesn't (as far as I understand) have any major downsides and at £200 it wasn't stupidly expensive in the grand scheme of IVF costs.
This time I did get a BFP, though sadly it was a chemical so turned to BFN shortly after. But that's the furthest I've got so far. Whether that means my body needed a bit of extra help (from the Clexane or scratch) for an embryo to implant is impossible to say. I've not had my follow up review yet but doubt the consultant could say for sure either.
I think the suggestion to do another transfer before tests is sensible. It sounds like you had one embryo for transfer from round 1 and I completely understand that it feels like so much rides on each transfer. I do wonder whether one of my 5AAs may have succeeded if I'd had the extra meds earlier, but clinics in the UK seem to prefer a more test and learn approach, plus I'd not PGS-tested any so it's quite likely they were aneuploid.
I'd say try one more transfer, and if no joy start with the most 'evidenced' investigations. As you say, you can really go down a rabbit hole and knowing where to stop is hard. Lots of luck.