Where are the spokes breaking?

Breaking at the threads/nipples may mean an improperly laced rim.

I've started popping the heads off of some generic spokes on my front wheel. All outbound spokes with the heads in the middle, 3 so far. Unknown wheel age/history. However, what I've noticed is that the spoke heads for the generics don't appear to be fully seated. The replacement DT brand spokes are much better seated.

Anyway, I'm very much in favor of paying that extra $10 to get name brand spokes over some generic that doesn't even have enough pride to put their trademark on them.

So, you could buy another cheap generic wheel... and probably eventually get the same problem. Or, you could purchase a quality wheel, or get yours rebuilt, and hopefully the problem will go away.