Known for being the birthplace of the Wu-Tang Clan, as well as for having the honor of also being the place where all the trash/refuse from NYC goes, Staten Island also spawned one of the true greats of the powerviolence genre - Compassionate Revolution.
While they certainly couldn't be pigeonholed within that movement, "emotional, intense" hardcore just doesn't sound right when describing their sound either. They fucking blazed ass, and made stark, gritty, violent "thinking mans" balls-out adrenalin-fueled hardcore for lack of better stereotype/term.
I'd be surprised if you never heard of them, but in the case that you haven't, do yourself a favor & check these guys out.
