A little backstory: I've removed pulseaudio completely because it was causing utter audio chaos when doing anything with wine (stuttering, non-sync'd, sound playing way too slow or way to fast, etc.). Removing pulseaudio made wine sound work perfectly.
However, now my Logitech USB headset (ClearChat Pro, device ID 046d:0a0b), which worked fine with pulseaudio, isn't working. I can select it with gnome-alsamixer, but turning up the "Speaker" volume doesn't do anything (there is only "Speaker" and "Mic" available). Turning up "Mic" volume does route the mic input through the headset so that I can hear my own voice and ambient room sounds through the headset, but still no audio from the computer. Using the headset's built-in volume buttons controls the computer's speaker volume instead of the headset's volume.
Any ideas? I struggled with this several years ago, and had a solution, but can't find it anymore. In newer LM installs, the headphones just worked with pulseaudio. But I want both wine audio AND my headphones to work. I will not accept having only one or the other working properly. There HAS to be a solution to this that doesn't compromise either.