Hi again,
I believe that the power requirements isn´t the reason of this behaviour, due to if your application requires more channels than a single USB data acquisition board can provide, you can use a USB hubs to plug more USB daq board into a single USB port on your computer.
I would check other points in order to know why this board has this behaviour, for example:
1. Noise that you can have closed of your board.
2. Type of signals, I mean, if you signal is very low for example mV, it´s possible to pre-amplifier before acquiring for the USB-board.
3. If you have a PCI-board. Use it to acquire your signals on the computer where you have this behaviour.
Regards
Diego M.