Using the correct profiles you won't see a lot of difference between the various glossy papers.
Sounds like you're suffering from prints that seem too dark. I suspect the real problem is that your monitor is too bright, and possibly not calibrated. Unfortunately, the dirty little secret about recent very bright monitors is that they are so bright and contrasty that prints simply can not match what you see on the screen. Prints have a much lower contrast range than a monitor. Beyond using the right print and monitor profiles, those of us with bright monitors also have to adjust what we see on the screen to appear much brighter that what we hope to see on the prints. And that's even the case with correctly calibrated monitors.
Of course there are work-arounds. If you are dead certain you are using the right printer profiles and they are being correctly applied (which seems to be your case), you can empirically adjust down your monitor's brightness and contrast to look more like your prints, but don't tell anybody I said that. If you do that, be sure you work from a large sampling of prints to get the best possible fit.
