If most of your files are already stored on a computer, then it’s probably better to add streaming capability to your system. This could mean installing software or enabling OS features for UPnP / DLNA if you can connect the DAC to the stereo and PC easily. You could set all of this up temporarily (and at low to no cost) to see if it works for you.
For example, Windows has a built-in DLNA / UPnP server - How to Enable / Disable DLNA Media Server on Win 10 or 11.
If you have a Mac or run Linux, Kodi is a free app that can enable DLNA / UPnP capability. (You can also install it on Windows.)
Then you can access your music library and control playback from your phone using a UPnP app like BubbleUPnP (Android) or mConnect (iOS). If you'd rather use a standard web browser, Kodi comes with a web app user interface too.