Can an F-16 fly with conventional hydraulic powered controls without a computer controlled Fly By Wire System?
I did some searching and got an extremely interesting answer here:
By the way, I should have worded my question differently :  the F-16 does have hydraulically powered controls, but the pilot inputs are sent through a computer first. 


  They designed the plane so it could be fitted with conventional
  hydro-mechanical controls if the fly-by-wire system couldn’t be made
  to work acceptably. “We spaced the bulkheads so that we could move the
  wing back and have a statically-stable airplane,” says Hillaker. “We
  were just giving ourselves some insurance. The wing would have had to
  have been moved back eighteen inches. All we had to do was make the
  two bulkheads have the same load capacity. One of them that we
  would’ve moved the wing to was higher than it needed to be, unless you
  moved the wing back.”  The structural differences carried over to the
  production F-16 design, but fortunately were never needed. The
  fly-by-wire system’s control problems were quickly ironed out and the
  plane, even with all its advanced features, steadily gained support
  both in the U.S. and abroad


So model makers note: get the CG for the F-16 and move it back 18 inches or whatever the equivalent is on your model for a stable airplane.

http://www.f-16.net/articles_article13.html