I can't give an opinion on ceiling/wall mounted options, but can honestly say: there's no such thing as "to be above pet hair".
While changing a ceiling light fixture bulb, I discovered cat hairs stuck to the ceiling. Those pesky hairs are very light, and the slightest air movement (i.e. fans, breeze, hvac unit) will carry them everywhere and anywhere.
With that said, you may want to figure a way to cover the batting also to keep it free of pet hair & dust.