There is a firmware update for the Asmedia USB 3.0 that can be installed on the H3.
The update only works with Mac OS X Lion and must be installed through Windows. I did test it on Snow Leopard 10.6.8 and it definitely does not work. So, I’ll be upgrading to Lion very shortly.
You can use the NEC/Renesas USB 3.0 driver in Multibeast.
Here is the download link for the firmware update.