use a two-prong AC adapter for your laptop power supply. This is the ONLY application I would ever recommend using one. I use one on my laptop to reduce ground loop generated noise at my house (washer/dryer, light switches, etc.).
Going through to an external DAC?
From the description, we're not even talking audiophile-land "it might be impacting the playback airy quality" or whatever. These are, as described, loud audible cracks and pops.
If it is caused by power supply, voltage is dumping across the USB bus, which means it is running rampant across the motherboard traces. It might be possible, sure, but... I'd think you'd be pretty likely to fry your DAC right after plugging it in. Or the CPU, which contains the USB controller of course!
If we were talking about onboard audio from Realtek, or the built-in speakers on the laptop, sure. Anything with analog circuits. But, USB isn't analog. If power supply is corrupting the data on the USB bus, and it is uncorrectable, then things are going very, very badly on that machine, and you can't trust the RAM or the CPU or the chipset or any of it. You should be having all sorts of problems. Or, if the USB bus on the PC is operating within spec, and the DAC is still flipping out because of power fluctuations, then
the DAC is busted (maybe you got a bad sample), not the PC's power supply.
I'd suspect the power supply
on the DAC itself to be faulty first,
for sure, if it is power supply. But it probably isn't. Cracks and Pops are a
thing that happens with touchy boutique DACs, if you don't get them set up right. It is probably fixable with some settings tweaks (probably one of the buffer settings), or a proper driver.