Arch is a swing and a miss
> Arch has no policy against distributing nonfree software through their normal channels, and nonfree blobs are shipped with their kernel, Linux.
Debian is a no go
> Debian also maintains a repository of nonfree software. According to the project, this software is “not part of the Debian system,” but the repository is hosted on many of the project's main servers, and people can readily find these nonfree packages by browsing Debian's online package database and its wiki.
Sorry Gentoo
> Gentoo includes installation recipes for a number of nonfree programs in its primary package system.
BSD
> FreeBSD, NetBSD, and OpenBSD all include instructions for obtaining nonfree programs in their ports system. In addition, their kernels include nonfree firmware blobs.