I would argue there really isn't a thing as a monitor with "very good" speakers. They're all about as good as shoving audio out of your phone. However, a lot of monitors that output sound also include a 3.5mm jack so you can plug in speakers into the monitor.
However, I'm curious about why Windows isn't recognizing the audio chip in your computer. Can you list its specs as best you can and what you've already tried to fix this?