EDIT: found one spec sheet with a max capacitor value - Brimar
http://www.mif.pg.gda.pl/homepages/frank/sheets/155/5/5Y3GT.pdf
32uf - maybe Leo knew what he was doing with the 5F2-A after all!
Also figured out where I got the idea of maximum cap values for rectifier tubes. Merlin's book and site plus data sheets for other rectifier tubes like the GZ34.
View those things as "prudent guidelines". The spec which
is a hard limit is the maximum peak plate current. This value is way above the rated maximum d.c. (steady) current. What gives?
You already know the first filter cap charges to some voltage, and only dips below A.C. * 1.414 because there is load current pulled from the cap by the amp. The cap only gets recharged through the rectifier when the rectified pulsating d.c. exceeds the cap's voltage at that instant. So recharge happens in very brief, high-current pulses less then a half-cycle long, and of a current magnitude much greater than the load current. These charging pulses is where the maximum peak plate current rating enters the picture.
Some things make those charging pulses tend to get bigger: higher load current means more charge has to be replaced during that brief recharge window, and larger filter caps mean more charge capacity trying to be filled during each recharge window.
But power supply resistance slows (limits/lowers) the charging current. This is usually PT winding resistance, but actual resistors could be installed between the PT winding and rectifier plate. These could enable you to use bigger filter caps, yet still limit charging pulses from exceeding the maximum peak plate current rating.
So theoretically, you could have a
1 Farad filter cap hanging off the 5Y3 cathode; you'd simply need enough series resistance to keep the charging pulses from getting too big. This is where the Duncan Power Supply program is handy: it does the multiple math steps needed to figure this stuff, and compares peak current to the spec for the tube.