Mid-bass, smooth treble, comfy, under $200 - I actually just managed to get the Philips S2 in house a few days ago and I've ripped them out of packaging, and while it's pretty linear down below, there's a decent balance of bass, and a slight mid-bass boost to these ears (ample enough for me, might not be for others). What strikes me as nice is how the smooth treble and the comfort makes for a nice smooth listen through and through. Pretty decent build actually, not very weighty.
Of course the conventional recommendations for that sort of smooth signature - the BA200 (might be a bit crisp next to the Coppers but smooth in the grand scheme of things), GR07 (okay, even more crisp, might be more against this, especially since I've not heard the Bass Editions) apply. Actually this isn't recommended as much anymore, but the X10s has nice midbass, nice quantity throughout, but in line with the mids which are also pretty forward, smooth, slightly rolled-off treble. The gel tips stock are amazingly comfortable, and make the deep-ish insertion pretty nice, tbh. Only thing is that the nozzles are a bit thin, and while I've not had it broken myself...
Most of these choices won't have a stand-out presentation - the BA200s have a bit more width and instrument distinction, but it's really too close to say much about the others. The S2 is the most open out of the lot.
I would have also said the KEF M200 because of the nice, tactile midbass qualities, but I've not much time with those to definitively say much about the sound - and of course the big kicker - these things are enormous, and will be a PITA to fit for 70% of the populace. So would not look out for these.