i have zero noise with my setup but going this route youre looking at $4-600 for receiver, speakers and a sub. my super basic 5.1 setup was 6-700...
Maybe if you buy new gear. If going to separates the used market is way better value and can easily half that depending on particulars.
I personally haven't had a sound card in a computer in over a decade. External DACs with USB is all I use.
OP, I'm with comments above. I don't think it's the speakers or amps. It's the source or delivery cables causing your white noise.
Change cables. Then change source. Try those powered speakers on another source to eliminate white noise origin.
An external USB dac would do wonders to help with that over anything. A iPhone or Android 3.5 dongle can be used if you don't have another dac around. They are after all both DACs