OP needs to be more specific. I'm guessing from the original post that we talking the connections for the runs form the 8x? to the next board? Also, OP needs to tell us if the XLR's on both boards are "mic" i/o or "line" i/o.
There usually is no inherent advantage or disadvantage to balanced vs. unbalanced lines. It depends on the application Balanced lines are generally preferred for longer distance cable runs.
Additionally, balanced line level is usually about 4x hotter signal ("+4dBu") then an unbalanced line level ("-10dBm")
From what I can assume from OP's post, he is running his drum signals (mics? line outs from drum synth? ) to an 8 input mixer feeding another board. I do have a submixer with a pair of line level XLR outs, (in addition to RCA) so it's possible the XLR outs are line level and not mic level. If the second boards XLR's are mic inputs that won't work, the +4 signal will be way too hot..
If those are mic level, I think it would be better to use the unbalanced line outs to unbalanced line ins, because, more likely then not the submix is attenuating the signal to get it to mic level, and then the mic input on the second board has to amplify that signal, so you're adding two gain stages. But, given the choice, as long as you're matching mic to mic or line to line, give all a try and see which one sounds the best.