I thought my day would be boring, but just saw your post. Get ready! Unfortunately you will not have any actionable take-aways, but you will get all sorts of opinions.
My 2017 seems to tolerate pitching well and usually does not even have general soreness. I am not a big fan of icing unless there is a desire to reduce inflamation from injury (including overuse). Any mild soreness is to be expected and could (opinion) reduce natural healing. I think stabilization exercises after the game as well as a lite throwing program during the days after are important. If you have moderate/severe soreness after each outing, then you should address that in the pitching mechanics and not pain relief after the fact.