Actually, a model can also hunt when the CG is too far forward. My brother and I meticulously moved the CG back and forth on a stock Twister to determine its working limits. The model would hunt as it approached either limit. We also found that too much tip weight would make our model hunt.
If your models hunts, there is a pole on the right side of the S (complex) plane, and you're approaching it. Avoid that area, or move the pole outside your operating area. Seriously, this is where instability exists, where a minor oscillation can grow in amplitude.
Remember the good old days when some cars would hit a bump and start to "shimmy"? It's caused by positive feedback, where an error signal acts to worsen an error. Resonance is a phenomena closely associated with this. Nowadays we don't see it much but such things as gross misalignment, worn tires and suspension systems can still induce it.
The way to deal with a resonance in a mechanical system is to relocate it to an area where you do not operate. This typically entails changes of mass and/or mechanical stiffness or damping. Change the resonant frequency! If there are no poles in the right half of the S-plane, no oscillation can be sustained.
Slop in the control system can be effective by creating a small "dead zone" around neutral, where an oscillation is prone to start. Misalignments can introduce some unwanted aerodynamic forces, of course, and some deliberate misalignments can also stabilize a system.
As a resonant point is approached, a very small disturbance can kick off oscillation. And some very minute change can often fix the problem.
Good luck.
L.
PS - I nearly forgot to mention alignment and position of your model's gear. A skewed wheel pant, for example, can induce a shimmy!
"If you want an oscillator, try to design an amplifier.
If you want an amplifier, try to design an oscillator." -Rules of Op Amp Design, page 7..