• WARNING: Tube/Valve amplifiers use potentially LETHAL HIGH VOLTAGES.
    Building, troubleshooting and testing of these amplifiers should only be
    performed by someone who is thoroughly familiar with
    the safety precautions around high voltages.

How do I find the value of this choke?

Isolating the whole choke is not an uncommon practise in >1kVdc supplies, although that form of supply normally has a raft of additional safety barriers and techniques applied by experienced people.

Caps are 'biased up' in voltage doubler power supplies, and supplies that use series connected caps for >450Vdc operation, although the cap in that situation often has a supplemental insulation covering, and the constructor typically adds a proper insulation barrier to any cap clamp, and should at least add a hazardous voltage label or similar way to alert future servicing.
 
.......put the choke on the negative (ground) side of the voltage supply, whereby there will be a lot less voltage.......

There is still a high voltage at start-up, until the caps' charge settles.

Since insulation breakdown is also time dependent, this means instead of blowing-up on the test bench it may break-down days or years later.