It should be possible. In fact I’m a little surprised it doesn’t already work since Bike files are declared to macOS as an HTML subset. In any-case that is the route that I would take, HTML using a web view. I don’t want to do the drawing myself, but I think HTML web view with right styling could work.
Next step is to get the HTML rendering looking better. See this post for some thoughts. If I get a stylesheet that replicates Bike then I’ll look more into getting Quicklook to work. As it is I think icon rendering is probably better, since any HTML rendering right now wouldn’t really look like Bike outline content.