Run the laptop, and only the laptop, off the specified brick. They tend to be spec'd right at the edge.
Generate a 9V rail from the 12V rail using a LM7809 regulator. Check the current draw on your speakers. If it's less than 350mA, you don't need a heatsink. If it's more, get a TO-220 heatsink at radio shack or whatever and attach it with a little thermal paste. You'll be good to about 1-1.5A with the heatsink (basically, the device just has to remain below 125C).
Of course, make sure your 12V brick can source enough current for both the monitor and the speakers. There should be a current rating on everything.