Question about a T on a coach

[Flexbelt83]

First ever basketball ejection for me. Just looking for some feedback on whether I handled this correctly or if there are things I could have done differently.

Coach is complaining and yelling, of course, after the stop sign 1 min. earlier. Gets his first. I immediately go across court and partner starts administering FT's. Coach is still going nuts, yelling, "terrible!" and "awful!" I know that after giving the first, you should get away and your partner should come in and try to help out, but it all happened so fast, there was no window. He continues his loud tirade with "you suck" and he gets his second, from me as well.
I know I am justified by rule to whack him for that statement, but where my question really lies is, how much of a leash do some of you give to the coach AFTER a technical, because they are obviously upset. I took a few statements from him but that latter comment put me over my threshhold. Should I have waited for my partner to get it?