Kenny, it looks like your engine uses the same stator arrangement as mine. The one linked below has more wound posts than the stock 13A one that I had, providing 20A output with no other changes to the system.
Stator: https://www.amazon.com/gp/product/B00DVPELKG/
Rectifier: https://www.amazon.com/gp/product/B0827NFQLM
Buck converter: https://www.amazon.com/gp/product/B01LY8D7U0/
Smoothing capacitor not strictly necessary, but it made me feel like I’d helped the solution a bit!