Modern flooring is pretty stable over a wide range of temperatures....................but do make sure you buy good quality..............none of this cheapo thin DIY stuff..........it'll be up and down like a map of the Andes :o(
Being unheated............the only thing I worry about is damp in the air in winter causing it to warp.
Otherwise, sounds ok to me, but, please check with the manufacturers to be sure :o)



