@WhatsGoodTy R.I.P. to your father and I hope that your emotional wounds heal with time.
I lost my father in July. Fortunately (depending on one's perspective), he went quick. I spoke with him on the phone on a Sunday and he was gone on Wed/Thurs. He was 73, so as messed up as it sounds, when folks get to be around that age, we already know that death may be around the corner. Still, despite my father being in his 70s, he didn't act like it.
I'm the only "child" that hasn't cried about it yet. I even tried to cry in certain times because "it seemed like the right thing to do", but it hasn't come out. I literally feel like there is a trigger set off that everytime I'm about to cry about something related to my father, I get a big smile over my face instead because I start to reminisce about one of the wild or crazy things/stories from my father's life. He was a character. You say your pops loved battle rap, so that means he was really young at heart too.
If you gotta cry, then by all means do, but also next time you feel sad, remember the reaction that he had that time that y'all watched one of your favorite battles together. It should make you smile instead.
Like other posters have said, not everyone was fortunate enough to have a father, but if your father was a "Great Man" then that's something that you can always be proud of, now, and forever. Stay strong, because you know that's what he would have wanted.