NFHS baseball courstey runners

[BJ Moose]

I know he is out. But I would BET that this is one of those situations where IN MOST CASES.. the offending runner is simply removed and a legal one takes his place.. NO OUT gets called. Although, technically, this is not the proper call.

Now that I am completely ANAL about CR recording....I still would HALT the movement of illegal runner before we started play.

Coach: Time Please! Mike, Courtesy Runner for my catcher!
Me: Time! What number? [as #24 comes running out to 2nd]
Coach: #24 Rodriquez
Me: Find another one, coach, he's not eligible.
Coach: Huh?

Can I do this? Should I do this?