It is probably worth going through what is required for streaming. It starts with the music store, for which there are two basic approaches: 1) a networked store that streams the file across a network to a remote renderer, often in a box combined with the DAC, commonly called a streamer, and 2) a store that inorporates the rendering software that feeds digital music stream directly to a n external DAC without using a network (sometimes called a player).
Regardless of whether the store is in the computer or external to it in this case, it sounds as if in the OP's case software on the computer is doing the rendering, and the computer soundcard doing the DAC job? If that is correct then changing the DAC is likely to make a huge difference to the sound quality, whether DACv1, nDAC, something lesser like the Dragonfly, or something many think is better like the Chord Mojo or Hugo.
As has already been mentioned, isolating the computer's inevitable RF interference is likely also to be beneficial, though sone DACs are more sensitive to it than others -these Chord ones in particular do benefit, and options include the Gustard U12 and Uptone Regen.
And it may well be that you could improve the renderer -there are others for a PC with which I'm not familiar so leave others to advise, however one of the very best you can get is Audirvana, which runs on Mac, and best quality is achieved having it dedicated to that purpose, e.g. using a headless Mac Mini. An alternative receiving some favourable reviews on another thread is the microRend, which is external to a computer. MR, and computer sources, tend to have the benefit of relatively low cost with the best ones matching up to top level specialist gear, but are somewhat hands-on to set up and do benefit from careful optimisation.
Another option, if you are looking for a new music store, is something that combines store and renderer, like NAim Uniti Core or Melco, effectively doing what MacMiniAudirvana can do but with a turnkey approach (and the Core subject to confirmation as tomhow it sounds in this role as it is still very new). That would replace your computer and feed direct to a DAC.
Alternatively go for an all-in-one streamer, like ND5XS, streaming music files to it over a network from wherever they are now. It doesn't sound as good as some of the alternatives mentioned above, but has the advantage of simplicity