Dicebox to hold your Vampire the Masquerade, Hunter the Reckoning, or Werewolf the Apocalypse dice. If the dice are at most 23mm from tip to tip, they should fit. 

Printing this shouldn't require support, as even the bridging near the Vampire the Masquerade logo shouldn't be too much of a challenge. If that fails, you can put some support under there. As far as infill goes, something like 5 to 10% lightning infill should be plenty. You need infill to support the spherical cut-outs.

I'm working on a middle part so you can stack multiple dice sets on top of each other. It takes a bit of work to make that work in a way where I'm happy with it.