Windows and its great wisdom loves to share a single IRQ with as many devices as it can, just because PCI allows it... most of the time leaving many free IRQs unused.
Try disabling plug and play bios if you can, and setting manually irq settings there. You can usually choose a different IRQ per slot. Also from control panel, system, device manager see the card properties and try manually changing IRQ settings. Start with the audio card only. Also disable any unnecesary device from the bios (unused ports, USB, etc) anything that takes an IRQ. Try disabling any power management features. Sometimes its the other way around, and you have to enable power management, but configure so it doesn't save anything or does the least to save energy (don't monitor any irqs, don't turn off anything, etc).
There are some important "tweak" options in the bios you can check enable/disable, for PCI there are things like PCI delayed Transaction (enabled), CPU to PCI Write Buffer (enabled), PCI 2# Access Retry (disabled), PCI Dynamic Bursting (enabled), etc.
Anyway read
this and try one by one. It could be long and annoying. Oh yes, do this with the least amount of devices installed, so remove everything else and be prepared to spend some time.
Having the latest BIOS and device drivers already installed could help too.
Lastly, try another card or another motherboard.