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I'm thinking you could put the B/R on third using this logic:

A. If the runner had gone home cleanly, there would have been a play at the plate, giving the B/R the opportunity to go to third. Of course, then you get into whether she could have gotten there safely.

B. She could not, because of how the play ended up after the obstruction, take third because someone else was there.

Don't know, seems a bit of a stretch, but HTBT.