I would personally skip the Sig and the Glock. I would recomend the CZ 75 P-07 Duty. It isn't really any thicker than a Glock and definitely thinner than a Sig. Plus it comes a decocker and has the option of a manual safety. It has been torture tested to meet the specifications of several police forces. Plus you can get out the door with one for between $436 and $483 depending on where you buy it.
I also would consider a CZ 75B D PCR. It is the concealed carry version of the CZ 75 Compact. It comes with a decocker and night sights for about $500 - $550 out the door. It is heavier than the P-07 though. It is an alloy framed gun instead of a polymer.
I would try them out. A couple of my Glock "fan boi" friends have ended up with P-07s after handling mine.