Something to try before giving up on ALSA:
From the Wine HQ web page:
ALSA
Wine does its best to probe your system for information about the available devices, but ALSA’s device enumeration does not work very well. Wine will detect your hardware devices, but it may not be able to find software devices you have configured. To tell Wine about these devices, please set the following registry keys:
HKCU\Software\Wine\Drivers\winealsa.drv\ALSAOutputDevices #Multi-string value containing output interface names
HKCU\Software\Wine\Drivers\winealsa.drv\ALSAInputDevices #Multi-string value containing input interface names
You can specify them as defaults in the Audio tab in winecfg.