Hmmm, other than tying a livestream under your control in as a participant of a group voicechat, the only tool I've seen that sorta does something like this is CrystalBall Lite. It can automatically share certain types of files (such as sound bytes) and trigger it to play on everyone's machine simultaneously via a scripted button.
However, that would be one more software to acquire and share and have running along with whatever else you have going on. Plus, learning curve. (not high, but still, there is one.)