Ideas for an unusual aircraft ID?

Today, an aircraft went over that reminded me about a post of a couple days
ago, when a poster talked about the awful noise a Beech Starship made, as it
went over.

I had a remarkably similar experience with my sighting today.

I heard this plane coming straight at me at around 3,000 feet and was making
a loud high pitched howl, (really, really loud) unlike I have ever heard
from a turbine prop job. As it got close, I could see that it was a pusher
twin canard with a T-tail, also. I think it was a T, but it might not have
been. The main wing was almost midway along the length of the fuselage, and
had absolutely no sweep. I couldn't tell much more about it since it was as
high as it was, and I couldn't get a profile view because it was directly
overhead. As it was departing the howl got much more quiet.

Any ideas? It wasn't a Starship for sure, and I'm pretty sure it wasn't an
Piagio Avanti, because I thought the wing was more forward than an Avanti,
but everything else about the configuration and size was about right.
--
Jim in NC