@lrhodes Can you explain what you're looking for? Otherwise I'd say "OpenBSD or a Linux". What are the apps you're thinking of, how are they going to be run? Do you want lots of security, do you need a common authentication provider, etc etc. How much sysadmin work do you want to do with these? Fire-and-forget or favourite-pet approach?
I tend to stick Debian on small computers and just install things directly from the package repo, ignoring anything that isn't packaged.