Here's why I don't think under NF rules that you could toss a coach without issuing a technical. Although NF rule 2-8-2 says "The officials shall: Penalize and disqualify the offender if flagrant misconduct occurs." - and there is no specific definition of "flagrant misconduct" as it relates to technical fouls, NF rule 10-4-1 covers all the specific ways bench personnel can behave to receive a technical. I can't think of anything not listed that would result in wanting to toss a coach, therefore all the bad behavior I would want to penalize is in the technical foul rule.
Now you see why I never became a lawyer.