A player yelling at the ref is no way to "hold the league accountable" so let's cut that silly line of reasoning off.
If you feel a ref has it out for you, deal with it as best you can on the ice and take it up with the coach and/or your union rep after the game. A lot of that stuff is quietly dealt with by back channels and we never hear how it's really resolved, but that doesn't mean nothing is done.
Chirping on the bench is useless, it's not going to reverse the ruling that's already happening and may move the ref towards giving your team even more "gray area" calls... just don't do it. It's never a good idea to abuse the referees, and when you feel they really deserve it it's actually an even worse idea to indulge, because the more capricious and unfair a ref is, the less you want them pissed at specifically you.