Great Question! This is why I love this forum!
For NCAA wouldn't this be handled the same? Shoot the technical free throws and then shoot the free throws from the shooting foul. If the technical happens first then it is handled in order. If the shooting foul happens first then you adminster the technical free throws and then go to POI (which is the shooting foul).
Because this is NFHS rules, NevadaRef sounds correct. I would like to see this in the book!