If you unplug the L4B and its power supply and let it sit for a few hours it should be safe. To be 100 percent safe, make a set of shorting sticks. Just get 2 pieces of short PVC pipe, put two bolts on the end. Attach two big 100k resistors in parallel to one of the sticks and the bolt then run a wire from the end of the resistors to the other bolt on the PVC stick. You can then discharge caps and high voltage safely.
If you remove the L4B's RF deck cover it will short everything to ground, it has a safety switch on the RF deck. Just make sure the power supply is plugged in.
The grid shunt in the L4B is very tough thats unlikely to have opened.
I would also check the cut off bias resistors on top of the power supply they go open circuit.
The power supply module including the rectifiers and filter caps are very easy to remove and check, its all on 1 module.
Anyway you probably have a bad tube, the Drake L4B's that i have owned have never had any circuits fail except for the cutoff resistors.
If you going to change the tubes, I would directly ground the grids thats about the only urgent mod that it needs.
Carl & Roland: thanks so much for your thoughts here. I come from the vacuum tube era (licensed in 1966), but I haven't worked tubes since college. The HV on an L-4B is fairly intimidating.
If substituting tubes, one at a time, how much time should elapse before the HV bleeds? Of course, without the tubes installed (Rolands's suggestion) the bleed should take more time? I'm hesitant to discharge the HV because I recall doing so is injurious to the filter caps and resistors.