Brouwer is a decent player, but he doesn't give us anything Clarkie doesn't already have. He'd be filler at best, like Ponikarovsky+.
I would dangle one of Fayne/Merrill as trade bait knowing that we'll still have the other. For Fayne, I want for a young, established blue chip top-6er. I'm talking players the caliber of Grabner, Setoguchi, Stepan, Johansson, etc. Not necessarily them specifically, just that type of proven young talent.
For Merrill, his value against NHL players is a bit blurry, so he'd probably be best used as a sweetener in a package deal. Though with our lack of star-quality prospects outside of him, and our inability to trade draft picks, AND our only other moveable assets being other defensemen....it would be very difficult for us to make up a package that other teams would find appetizing.