I would install the minimal Raspbian and then add the server applications you want. Also, don't forget you can completely shut off the HDMI for a tiny bit of power savings. If you are going to use https, every little bit counts.
The only reason I actually name a distro when normally I'm hugely agnostic, is because Raspbian is the official distro for Raspberry Pi, and therefor can always be expected to support rpi's various idiosyncrasies.