I can only speak about this in a very general sense, since my FP2 does not have the CCS's, but it sure seems to me that you could just put a coupling cap after the VA section to feed the primary of the transformer, and do away with the CF section altogether. With the C4S as the plate "load" for the VA and a coupling cap to the transformer, it would be a sort of "parafeed" with the C4S taking the place of the more usual plate choke.
Just a thought; I'm not really sure of the output impedance of the VA section relative to the input impedance of the transformer.