Firstly, this topic beloings to Kopitiam as it is not directly related to photography. So I will be moving it over soon.
I am supprised that the USB 2.0 PCI card does not have adequate output power to drive high power devices.
Did you check the specs to find out the output power the card can support for each port? If it is a 4 port card, it is possible that some of the ports are high power and some are not. Also, does the Anypak specification indicate its power consumption?
If all the ports ont he card cannot support the device, then you can consider getting a self powered USB 2.0 HUB and connect your device through the hub. Self powered hubs should have high power ports.
There are also potential compatibility issues with this setup. I have a USB2.0 PCI card as well as a USB 2.0 hub. When I connect a USB 1.1 video capture device (Dazzle 80) through the hub, the captured video is choppy as if it is missing alternate frames. When I connect the device to the USB2.0 card directly, the problem goes away.