David,
I see a 1.0uF 50V Z5U cap in the parts list for the FP III. I think that is what is across the voltage divider. I think you can go to Radio Shack and find a 0.1 or 1.0 uF cap there for a few dollars to give it a quick try. Since you have 70V across the bottom of the voltage divider you want a 100V cap. It doesn't have to be soldered just crimp it at first to check then solder if it lessens the hum.
You are supposed to be on vacation. Why are you still checking the boards? :-) I have a bin full of 1.0 and 0.1 caps, I will try one of those tonight.
A couple of things: Have you ever tried just grounding the center tap of your heater winding? If you did, what were the results?
Second, I presume your Voltage divider is across an already-filtered supply, correct? So, I would use a smaller cap as bypass in order to use something other than an electrolytic. Of course, that generally sets the practical limit to less than 1 uF, but I don't think you are necessarily looking to filter out anymore ripple with the bypass.
Oh, I guess I have one other question: What are you using for heater wiring?
I haven't tried grounding because I know that I need to float the ground because of Vhk limits (100V).
The voltage divider is coming off the last capacitor in the CRCRC filter, so yes its filtered.
My heater wiring is
Laquered Cotton Braid Solid Core Wire. Now that I think about it... the insulator on that is pretty thick so it doesn't allow for as tight of a twist as some other wire I've used. However, I'm not so sure it is the wire dressing that is the problem. The level of hum doesn't change regardless of where I move the wires.
By the way... the heaters are AC.