Guns akimbo would be pretty cool haha!
A particular enemy triggering the roll would be neat to explore. Or maybe "kill the number of enemies equal to the rolled side". Or you could leave it on the existing timer with a visible indicator, and just give the player some extra incentives like a particular enemy that when killed will make the next face have a powerup (or going back to the number idea, if you kill the right number of enemies on a given side it makes the next side have a powerup / modifier)