Idle Reverse
I am not familiar with the Citation series. However, would it be feasible to use idle reverse?
While rudder blanking can occur at high reverse levels (on aircraft which have engines mounted on the aft fuselage), I have not seen any degradation at idle reverse. In fact, for one aircraft I flew, the manufacturer specifically directed to select idle reverse if directional control became a problem. My experience with that scenario showed me that directional control can be regained rapidly when reverse is reduced to idle.