Everybody is so quick to suggest Debian (and it’s a fine choice), but Alpine is great for such things, as well. It’s blazing fast, frequently updated, has most packages you could ever want in a server environment (not that it matters if you’re planning on using containers). I’ve been using Alpine for years as my docker host, and not once have I thought “man, I wish it was debian instead”.
Chrome Remote Desktop works well and doesn’t require a monitor (at least not one that’s turned on).