Hit by pitch along with Illegal pitch

[Del-Blue]

On the other board this question was asked. NFHS

Runner on third, 1-1 count on batter, pitcher commits an illegal pitch. Ball hits batter.What is the call?

I was thinking that the coach would have a choice. Either take the HBP, which puts the batter on first, or the result of the illegal pitch, which would add a ball on the batter, and score a run.

My reasoning, is that since it wasn't just an illegal pitch, the coach would have the option just as if the batter hit the ball didn't reach first and all runners didn't advance one base.

Bob