Well you need a divider for the screen grid, thats for sure.
Do you know thevevenin equivalent circuits? Read the datasheet, choose a G2 voltage with respects to cathode, read the current from the datasheet. and calculate two resistors one from regulated out to G2 and one from G2 to cathode.
If you use the inner mu of the tube, you can calculate a divider that will compensate for tube ageing. and you can also use the inner mu to calculate how to inject hum from the unregulated voltage into G2 to get extra ripple rejection at very low cost.
Now the easy way is just to calculate a divider, Your zener is 20V you want the screen grid at 150V with respects to cathode, so you have 130V to drop, cause the G2 is at 170V with respect to ground. screen grid current can be up to 4mA but is normally 2.5mA. Now if we calculate the divider at 4mA through the upper resistor this gives 250x130 which is 25K+7K5 33K for conveinience sake.
Now the other resistor from G2 to the cathode needs to sink 1.5mA at 150V Which is 666*150 or about 100K
Now if you want to inject ripple into G2 from the raw supply, you can use a 1Meg pot, and lower the 100K resistor to 68K. just turn the pot untill you have lowest ripple at 300V out. Due to G2 shifting slightly there WILL be a slight shift in output voltage Circa 1-2V.
However, Ideally you also change the reference from zener diode to gas regulator tube, because you are essentially making a closed loop system, and reference noise is amplified by: (output voltage/reference voltage).
A 85A2 is amazingly low noise reference tube and also very stable if you keep its operating current near 3mA. to do this you calculate G2 divider current plus anode CCS current, and you add a resistor in parallel to the 85A2 to shunt some of the current away from the reference.