I have the stereo version of your 7B's (the 14B SST2). Yes it will get warm if pushed, and hot to the touch. How much ventilation do the 7B's have? As a reference my 14B is installed in a cabinet with a little bit of natural convection. There is also a large air tight wood stove in the same room, so not ideal conditions. Having said that, it has never thermally shut down, even when pushing a pair of PMC MB2's at decent volume for a couple of hours. I typically push it a bit when i am alone in the house cooking in the adjacent kitchen. (You would swear Art Pepper is playing live in the family room) All Bryston amps are over built with thermal protection, so I doubt you have anything to worry about.