I didn't realize the doubler would provide an additional 1.4 x increase a voltage doubler is as it is implied - literally: output is approximately Vpk doubled. Vrms x 2xSqRt2 or 2.828 x Vrms UNLOADED.
with a 300mA load - PSU designer shows ~9V output with a 2A winding. YMMV. i used 4,700uF caps for the stacked first filter pair and 10,000uF for the main filter. with a 600mA load output is just over 3V. i don't know much to trust PSU designer2 in regards to low volt simulations but it's been fairly accurate with HV simulations. doublers are terribly inefficient.
see attached SIM outputs.
if you're going to use a 7812 then use a 15V 2A transformer with a FWB. with a conventional Vreg (7812 types) you need at least 3V over the regulators output rating for regulation to function properly - e.g supply is 15V for a 12V regulator.
there are other regulators that allow the supply voltage to be closer to the regulated output voltage - they are called Low Drop Out or LDO types - typically you can get away with 1.5V over for the supply voltage. so a 12V regulator would require 13.5V supply - use caution though as the 13.5V should be maintained with the regulator operating at rated maximum current load.
a LDO with suitable Iout for this type of application are the Linear Tech, LT108x family. another made specifically for tubes is the TI LM1085A 3A
http://www.ti.com/lit/ds/symlink/lm1085.pdfhttp://www.linear.com/product/LT1083--pete