Your operating voltage seems high to me. I tested a CH19N and determined it was working by ramping the voltage up in steps and measuring the resulting pulse heights (Geiger plateau curve). Pulse height is the gain of the detection process and increases with voltage.
From my memory I believe the best signal to noise was around 1200 +-75V for proportional operation. The manufacturer recommended voltage was 1875V to 2100V for Geiger operation but honestly it was unusable at that voltage.
At higher tube operating voltages the circuit you are using becomes an avalanche oscillator.
Cheers -Peter
Is this neutron counter dead?
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