Say you only had the genome sequencing and you knew a little about populations but nothing whatsoever about what individuals looked like, and you made groupings of individuals based on the genomic data.
You imagine the groupings would correlate with races
Not imagination. There's no need to imagine what has actually been done, just look at the actual results instead of making stuff up. A search for correlations can't be guided to find only the correlations that somebody likes/wants/expects, but simply finds whatever correlations are actually there to be found. Confirmation bias is a trait of human minds, not computers doing math. And it's easy to get around by things called double-blind procedures (and in this case also by not even recording any description of the racial identities of the participants anyway).
a researcher looking backward from appearance... If you start with the conclusion and work backward, you end up making the evidence fit by ignoring all the evidence that contradicts your conclusion
Even if that were a mathematical or procedural possibility, you'd need to have something to back up that accusation other than the fact that you don't like the results. Without any indication of such egregious and massive (as well as conspiratorial) fraud, your accusation itself is what's really working backward from the desired conclusion here.
And your dancing, globetrotting goalpost strikes again here, too. Now you're back to the claim that there are no genetically identifiable differences between races, after having said nobody was making or defending that claim and the subject was actually something else.
However, a biologist looking forward would start with the last common ancestors and work forward to create groups.
And how would they find out anything about the last common ancestors? By looking at the genes of the living for large groups of correlated genes, which would reveal relatedness because because groups of traits get correlated like that by being inherited together from common ancestors.
It's exactly the same thing that's actually been done in the real world, and gotten results you don't like. At least not right now. You did admit it once before yourself, when saying that races were just large families, but that was when your goalpost was somewhere else, so at the time, you figured it was OK to admit the genetic reality of what races are... as long as you claimed the word somehow meant something else and insisted on substituting in some other word for exactly the same meaning (hilariously right
after it was pointed out by someone else that race deniers tend to do exactly that). I can understand why you'd forget about that by now, though. Your goalpost's choreography can't be easy to keep track of.
the non-correlating to race but correlating to geographic clustering of blood groups.
So you've found out what part of the world the As are native to, what part the Bs are native to, and what part the Os are native to?