Is there a model of Private jet that looks anything like a Predator or Reaper drone?

I was outside my house today when I heard a relatively low flying aircraft fly overhead. I only caught a glimpse at it, but noticed that it had a somewhat bulbous head, thin fuselage, and 2 upward pointing tail fins. I first though that this was a Reaper drone (take a look at some pictures on Google if you're not too familiar with the design), but it was making a very loud noise that sounded more like a jet turbine than a quiet propeller. I also figured that there wouldn't be any USAF drones flying around over northern New Jersey. However, there is a private airfield nearby so many private jets are always flying pretty low overhead. So are there any kinds of private jets or other small aircraft that resemble these drones?