I appreciate all the suggestions. I checked the edges to make sure they were okay. Everything seemed pretty good.
The wires always had a very harsh buzz after the initial strike, as if they were broken or improperly set. However I've changed out the wires with a nicer set, and made sure everything was set up correctly. I tried playing with the tension of them as well, and no matter how tight or loose, they still have a wonky sound. This leads me the believe the snare bed is the problem.
The only cure I've been able to manage is cranking the bottom head very tight (I do this on all my snares anyway) and also tightening the batter head. MUCH more than I typically prefer to tune. This is the only way to make the drum sound like a proper snare. However, at this high tension tuning range it's very one demential, and lacks that nice "woody" tone you typically get from a wood snare. It also become all attack, and lacks any kind of body or low end. Something I was hoping to gain from a 7" deep snare. I could easily just play a piccolo instead and get the same result.
I guess it's fine for daily practice, maybe some studio work with the old paper on the snare trick. But outside of that I'll be using any one of my many Brass snares.
I'm tempted to list it and try to flip it for something similar, but ya know... better. The problem is that the drum was a custom job made just for me. That devalues it a lot and I probably couldn't get a good price for it.