Well, little late to the party. Etacovda, I built your 15v rectifier circuit, and just tested it out. Had to use...Substitutions. Jaycar requires like $25 min order, and I'm just not that interested in buying that many parts.
Radio Shack had some parts though :
4x 1N4733A 5.1v Zeners (3 in series for 15.3-ish)
Both the capacitors, electrolyte, at 35v
2x 1N5402 3 Amp Rectifier Diodes.
First run gave me an output of 3v (?!). Fiddled and checked solder joints, reconnected, subsequent runs are at 0.85v. Connections are all solid, no parts have released any smoke, but it's a far cry from a smoothish 15v dc output. I'll admit it's been a decade and some change since I've done any electronics work, so the faults probably mine, but I've triple checked all the joints and polarities and can't find anything wrong. Bad substitutions? Does it need to be loaded with a battery?
The engine is a brand new Grubee Skyhawk GT5, with an NT carb instead of the NT Speed carb. WW, as far as I can tell, isn't damaged in any way, and under the magneto cover is pristine.