Responses
I really don't think it'll be "Kacchan". Deku's hero name is "Deku" because he wants to give it a new meaning, but there's no reason for Bakugou to go with Kacchan and, if he somehow decided that he wanted to atone for past bullying and use it as a reminder, then he would've told Midoriya.
As for Ground Zero... I really like that name, but I'm not so sure it'll be that. I can see him trying to give tribute to All Might though, so maybe he's the first person he wants to tell after all.
(Please don't let it be All Bomb or something dumb like that-)
Fingers crossed that we get Bakugou's hero name soon. The internet is literally splitting apart between the war of Kacchan vs Ground Zero.