Any girls here that have experience with a compact double?

[lo123]

Those two setups are REALLY different. Your current gearing yields some tiny gears. Again, I would suggest running the actual numbers on Sheldon Brown's gear calculator. From there, ask yourself what gears you actually use on your current setup to see whether the Giant would work for you as a cross bike.

So, I just went through this in the fall. Went from a Specialized TriCross with Road Triple up front and 11-34 in back.
I've found that I miss my triple, a lot. I live in a very hilly area, and I miss it all the time. I was faster on my triple because I could just spin up hills without spiking my heart rate too much or aggravating my bad hips from mashing too hard too long.

ETA - The compact double i went to is a Madone 5.2. MUCH lighter bike. I put a 28 on the back recently, and I miss the gearing on the 'cross. I'm still slower on it than the 'cross.