Well I decided to overclock them. After some analasis of how they are wired it was not that hard to figure out where I had to swap wires. Got it so they're all the same polarity now. I just need to make another bridge rectifier box and make it outdoor rated, as the one I used is for my Christmas tree.
A bit of a bodge... but the solder connection is very secure and then shrink wrapped, then each wire has electrical tape, then more electrical tape to hold them together. So it should be safe and secure and semi water tight.
Bridge rectifier box:
With rectification: (camera set to manual, settings unchanged for both photos)
Without rectification:
Not only does it remove the flicker but it makes them brighter. The 120hz flicker is barely noticeable so not even worth trying to put a capacitor in there.
Now I just need to string these in the garlands, I'll do that tomorrow. The big bulbs in the garlands should be interesting too, I could have gone with the LED mini lights but wanted something different.