Depending on how minimal a distribution you want, a few years ago I had a way to take a single ELF binary created by my computing stack built up from machine code (https://github.com/akkartik/mu) and package it up with just a linux kernel and syslinux (whatever _that_ is) to create a bootable disk image I could then ship to a cloud server (https://akkartik.name/post/iso-on-linode, though I don't use Linode anymore these days) and run on a VPS to create a truly minimal webserver. If this seems at all relevant I'd be happy to answer questions or help out.