Champish plans should generally have an added R-C filter, unless you are building for mass profit.
Do like PRR wrote.

A number of guys here have run into the same problem on a Champ type build and solved it this way.
The deep theory guys have explained it a number of times before.
When the tube sheets say max capacitance for a given rectifier tube it also depends on any/all resistance in the PT's B+ wind, which is not always known. More resistance limits the B+ current inrush.
I don't think it's as much how much charging current a given rect. tube can handle as much as it is the inrush current that at turn on can kill a rect. tube, but I could be wrong.
Adding series resistance, like you brought up will slow down/limit the inrush current, but a pi filter will work better.
Cap/resistor (or a choke)/cap and you've added both resistance and capacitance. 20uf/some R value (40ohms to 100ohms? or a choke)/20uF will be a better filter then 40uf alone. You could go 40uf/R-choke/20uF. Or 40uF/R-choke/40uF. The main thing is enough added resistance between the uF's to slow down the B+ inrush. A choke large enough to handle all the amps B+ current, not just the screens and preamp plates, will slow it down too.
I have 1 of Doug's Fender chokes for a 2x6L6 amp here that measures
105.7 ohms. That size choke will work fine for a single 6V6 Champ type amp for the whole B+ PSU.
If you go with a R instead of a choke then the larger the R value the bigger the wattage rating it will need, maybe 10w to 20w?
Brad
Edit: I was typing when John posted a schemo from PRR, go with his numbers.