I agree with Joyusgard that there are two types of covers. You can do more Dio songs, and other metal sounds OR you can vamp up a song from a different genre.
With the latter in mind, I recommend STILETTO by Billy Joel. during the solo section I can hear Sam covering everything Sax, Ethan doing BJ's left hand bass line, and Justin can extrapolate the right hand into a two hand extravaganza. (For him, the volume needs to be louder than you currently balance things, and that is true on all songs). Abby can double bass the drums and we can add some vocals to make this zizzle.
You May Be Right, All for Laina, and a host of other BJ tunes are ripe for conquest. If Justine and Abby want to take on Root Beer Rag, I'm all for it. I played that one when I was Ethan's age, and I will hurt myself to try it again. I wish you all the best with whatever tunes you inevitably select.