An obstructed runner is not "safe", until she is....safe. In your scenario, by touching home plate. From your description, that didn't happen. Obstruction is a delayed dead ball...a DDB is saying, when this is all over, there may be some additional stuff to do.
Read NFHS case book play 8.4.3 sit A - In the Ruling it says that the umpire will signal obstruction when it occurs and then call time at the end of playing action or when the obstructed runner is put out before reaching the base she would have reached ... had there been no obstruction (emphasis mine)
In your play, TIME should have been called as soon as the runner was tagged prior to reaching the plate. Once time is called, nothing else can happen. you now have to place runners at the base(s) you think they would have obtained without the obstruction. The easy one is the obstructed runner...she gets home. You still have one other runner to deal with, however, and it is strictly your judgement that determines where she is placed. From your description, I would lean toward putting her at third.
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