Also , how well treated or not your room is may influence which Fritz speaker to get… the Carrera or the Carbon.
my room is just a tiny bit smaller than yours but with pretty high ceilings … no traditional damping installed but lots of diffusion from objects and probably some absorption from couch, wool rugs, curtains etc.
I went with the Carbon 7’s powered by an AVA Set120 and it’s been a superb pairing. I realize that’s not an integrated …though AVA does make a version with a built-in passive attenuator and multiple inputs.
Others have had success with the Pass Int-25.