Very cool idea, it just needs a little more to be great.
I think what the game lacks is more interesting decisions. Right now you can choose to attack or roll (and who to attack of course), but there's not much oomf behind those choices.
You could for instance add a mechanic that made some dice deal more damage the more of the same kind that are on the board. Or you could add a die that changes face when used. When it's used it deals a lot of damage, but when it's just staying on that face, it buffs adjacent dice.
Maybe more mechanics would show up if I played it more, but I bailed after a short time, as I already found it a bit tedious I'm afraid.
All this is to say I think the idea is super promising, and I wish you had done more with it, especially since the execution is prettey great already.