"Fair line" - well, it is actually offically called the "foul line" even though it is in fair territory.
The interference is not for running outside the running lane, for blocking F2's throwing lane, or even for getting hit with the thrown ball; it is for interfering with the play at 1B while outside the running lane. (ASA 8-2-E; NFHS 8-2-5).
First, then, did F3 have a play? This is where I would begin to look for an intentional beaning of the BR - i.e. if F2 was obviously not throwing to F3, but instead throwing to the back of the BR. But, I'd need pretty good indications before I would eject. It'd take less for a warning.
If it did appear to be a legitimate throw and F3 had a play, where did the ball hit the BR? Did it hit the BR over fair territory (out) or over foul territory (no call). When the BR is straddling the line, the call is made based on the position of the ball. (ASA 2002 Case Book Play 8.2-16).
I could not find a case play for NFHS on a runner straddling the line, so lacking other guidance, I would call it the same way.
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Tom
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