No way on a NAS too? I have a QNAP model with the latest QTS.
So in theory you would use Container Station to create yourself a virtual machine (if you have a QNAP powerful enough to support that) and install HASS onto it. A Google search will point you to a YouTube video, showing such an install. (N.B. I do not own a QNAP. On a Synology NAS one would launch Docker and install HASS into that.)