I understand the problem with docker image sizes. I worked at a company where we had a ~1GB image and our CI tool didn’t support caching of docker images so it would take a good 15 minutes to do a build every time. But when we were faced with the option of using another smaller OS, like alpine, we decided not do it because we would give up a lot of flexibility that the OS was providing us.
If you’re running a statically linked binary produced by go and that’s all you want on your pretty much empty image, why not just scp the file and run it manually under a cgroup? Or good ol choot/jails/zones?