Thanks AllPurposeGamer, this was the rule I was thinking of but I was just fixated on the "Fight" rule. It is a Class B Technical for NCAA Mens:
10-6-2...A technical foul shall be assessed to a coach and all bench personnel for the following infractions:
a. Entering the playing court to attend an injured player unless done with
permission of an official.
However, I agree with everyone that another option and probably the best option in my case was a stern warning (not a David Stern warning...
).