I test rode the Jamis Coda Sport and loved it. Ended up buying the Coda Elite, but am thinking about a Coda Sport for one of my daughters. The thing I liked, beside the fact that it seemed well suited to my body frame, was that it seemed to do everything well, from handling to braking to shifting. Just seemed like a well-rounded bike for the money. The steel frame was a plus to me.
Haven't tried the Giant, but the Trek 7500 FX, which costs a bit less, I think, than the Jamis has its fans.
One thing I'd suggest is to test ride the bikes you're interested in and see which one most floats your boat. Make sure it's as long a test drive as you can take.