I had a similar problem when I was attempting to root my device (Droid Incredible 2), the computer just wouldn't recognize it while in charge only mode. However, change the settings on the device, after you've plugged it into the computer, to disk drive mode (mount as disk drive). See if that solves your problem.
Have you tried http://airdroid.com/
I'm not sure an application like this will work with a rooted device. At least with my Incredible 2, after having to downgrade the firmware in order to root, Google Play online does not recognize my phone anymore.
Edited by professor universe, 03 November 2013 - 11:35 AM.