... read about concerns regarding start up time, but the current setup seems to supply negative voltage much quicker than the time needed for the rectifier to warm up and for the power tubes to start conducting, so I am less worried about this aspect. ...
It seems you've already gotten my input on the raw bias voltage itself, and the charging time required to develop it. So no need to reiterate here.
... it sounds like adding additional capacitance might not be a great idea, considering the recovery time for the bias supply should it ever be taxed in any way. ...
Overall, I recommend you not worry about this because it probably isn't hurt by the bias supply capacitance.
"Bias Recovery" and large capacitance has little to do with the capacitance in the bias supply itself.
We care about "blocking distortion" or "grid blocking" when the coupling cap is negatively-charged by grid current when the 6L6 is overdriven.
The R x C involved here is the "C" of the coupling caps and the "R" of the 220kΩ bias feed resistors between the 6L6 grids & the bias supply's output.
Faster recovery comes by making R smaller, or C smaller, or both.
But making R smaller reduces the gain of the phase inverter stage.
And making R and/or C smaller reduces low frequency response, and will increase phase shift inside the feedback loop (probably not an issue in a Super Reverb unless there is a defective output transformer).
Hopefully you now see that bias recovery from overdrive is mostly a function of components that aren't in the bias supply itself.