I'm not entirely sure if you already use them, but in my experience, a simple way to make MuseScore sound quite a bit better without having to mess with DAWs is to install sound fonts for playback. Also, adding some panning can help a great deal in making the song feel less cluttered; especially for things like choir voicings, it helps a lot to just make them resemble an actual choir by putting them at different positions.
In the long term, I'd still recommend learning the basics of how to use a DAW, though, as MuseScore simply isn't meant for music production yet. Of course, that might change when they add this NotePerfomer thing, which I'm very excited about.