Integrated amp for Philharmonic BMR monitors

Those are pretty low efficiency. I would go with the M5 out of those choices. 

yep low efficiency and lowish impedance through the bass and lower mid region

go for more power as long as the watts are clean sounding

One of my friends uses Audio by Van Alstine tube pre and ss amp and is really happy with the sound.

I know someone using the BMR monitors with a Hegel H190 integrated, he loves the results. I recall him swapping out a few different units before he landed on that one. I think it was a Gato Audio with a Class D amp section, a PS Audio Stellar Strata, a nice Unison Research that wasn't quite powerful enough for bass impact, and an Atoll EVO200 that was surprisingly capable. The Hegel ended up being top choice though.