Welcome to the forum.
Motorized 20" BMXers look so cool when done right. And by done right, I mean using the correct components - or if your welding is up to it, by cutting/adapting your frame to accept a motor mount to fit any of the under-slung lay-flat Honda C type Cub engines (or clones) from the 50/70/90/110/125cc range as shown in the accompanying pics. Your call, but I'd go out of my way to avoid mounting any engine up-and-out-back on any bike - just 'cause that kind of set up always looks like a jerry-rigged afterthought to my way of thinking. Hardly has a 'performance' look to it, does it? You and others might have a different opinion.
There are dedicated BMX Cub frames available for such a conversion from the likes of Mad Munk or Kepspeed here in the UK. Everything else needed, from forks, wheels, seats etc. is also stocked. You'd have to search for something similar in the US. I had plans a couple of years back to do one of these using a Lifan 110cc semi-auto engine but then I changed plans and went down the board tracker route instead.
Just search Google for Motorized BMX Cub and you'll find plenty inspirational pics of custom machines. There's thriving scenes for these worldwide - but maybe not in the US?
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