Rather than designing the model with neutral or negative static stability, design the model with positive static to neutral static stability. Perhaps chose a more benign airfoil section, but the whole fan-fold world has shown that even a plank of foam will fly. Given the F-16's airfoil maybe sharp, that may help induce some vortex lift even at the Low Reynolds numbers they maybe running at....
Aft CG (behind the center of lift) gave it a lot of maneuvering capability.
Weight distribution plays a bit role in the real-life jet, and speed as well.
I worked on F-16 production for 11 years (while it was still a General Dynamics product) and the design is unstable with a far aft CG. This gives the plane it's outstanding pitch-up and turn rates.
I have always heard it was manually unflyable without the flight control system being active and that is why it was designed with a triple redundant FCS.
However, in relatively level flight without radical control inputs it should be stable enough on all three flight axes to maintain reasonable stability.
One sure problem the pilot would eventually encounter though is pilot induced oscillations (PIOs). That is over compensation on control inputs that requires correction. These tend to get progressively more intense with a likely loss of controllability.
I love this and other larger scale model aircraft flight footage.
Very very very cool...
F-16 ping.
There's lots of videos out there taken at different RC air shows and I highly recommend watching them........