In my primary system, which is also a home theater, I'm using three Bryston 7B ST's for center and rear channel power. I used to use two of them for my main front speakers.
I agree that they are good in the bass, but I haven't found them lacking in the mids and highs. They are reasonably accurate and do not convey any of the lushness in the midrange that is commonly attributed to tubes. I don't recall them ever having run really hot. In this instance, my sentiments seem to align with some of the pros.
I replaced the Brystons in my front stereo channels with a pair of Pass X600's, which cost a lot more. These sound slightly more delicate on the high end and very slightly more detailed in the mids. As Class A circuits, they also run hot for real.
Bottom line, I think Brystons should be perfectly fine with your monitors, and the "unrefined" comment is undeserved. The primary difference you may hear between Brystons and other amps is a more accurate midrange from the Brystons when comparing them to tube amps.