I've got a heavy beard as well. I don't care for electric shavers, for the noise, dependence on power outlets, and their inability to exfoliate as well as cut hair. After much trial and error, I now wet shave with an old style safety razor. It takes the single double-sided blades. As I shave, I can turn from one side to the other, so it gets rinsed half as often. The shave is incredibly smooth-- almost like a well honed straight razor wielded by a barber. Seriously, if you can get some warm water and a good lather on your face, it's a great shave, and a real pleasure. The shave is close enough that I can skip a day or two without looking too disreputable.

Good luck with the hunt.