Doing a prototype of the circuit as shown below using a voltage regulator as I have no 5 volt Zeners:
I used 1N007 diodes and a LM7805 regulator. Transformer output 13.85 Vac 17.3 Vdc at the capacitors.
What I got for ripple voltage at the capacitor was:
536 mvpp with 1523 mfd cap. 140...