[greymule]

I thought about it for a minute, but would have had a hard time saying R2 reached 2nd by the time of the throw when R1 had not reached 3rd.

Apparently the play you described was straightforward, with the runners and the BR off with the hit. Nobody pausing, tripping, loafing, or going the wrong way. If F1 had a play at 3B, it is unlikely that the runner from 1B had reached 2B at the time of the throw.

R1 was definitely faster than R2 . . .

More evidence that R2 had not reached 2B by TOT.

but BR was a real burner and was probably on 1st before throw.

This is irrelevant to placing R1 and R2.

If I would have awarded BR 2 bases and R2 2 bases they would have both been on 3rd.

If two runners are between 1B and 2B at TOT, you award the preceding runner 3B and the following runner 2B.

That was another thing that bothered me. If the ball would not have gone out of play; R1, R2, and BR would have all probably scored.

This is utterly irrelevant. Even if a runner scores before the ball goes out of play, he still gets 2 bases only. If he had not reached 2B by TOT, you have to send him back to 3B.