Using BGBuddy, can't seem to run HB for more than 10mins without disconnects. I have 3 sessions and it is occurring randomly on each session. Would have to happen on an AV weekend for which I've been waiting for specifically.
I was having a problem with HB, where about every 5 minutes using BGBuddy, it would say that the instance of WoW isn't valid, please select the correct build etc - - changed the resolution on my WoW from the smallest to something a few notches larger, and success. I only did this because I changed my resolution prior and everything was working, just tried botting in a smaller window, but meh. Best of luck.
I don't think it is a client side issue. Mine hasn't dc'd for some time though so maybe it was a server issue?