Warming up digital in my setup

I have LS50's on a pure digital system using a Pi/Allo Digione streamer and a Schiit Gumby, it sounds great. The Gumby will give you that smooth sound you are looking for at a lower price than the Yggy. That said, you should first try a dedicated streamer, they can make a huge difference. The Node is okay as a standalone streamer, I have one, but I think folks on this forum could suggest something better, and less complicated than the Pi, yet still priced reasonably.

I would try a dedicated streamer first with your present setup. I was using an iPad into the Dac on my preamp and bought a Rose 150b streamer dac and it was a night and day difference. My research and practical experience tells me you need a dedicated streamer.

Using iPhone to stream music is most likely your culprit. The DAC in the parasound integrated can’t be that terrible. Get a decent streamer, good usb cable and good power cord for your integrated and you should be ok. 

Your description reminds me of every time I have heard KEF speakers, especially the LS50.  Bright, hard metal tweeters aren't helping.  Try a speaker with a folded ribbon, like a Golden Ear stand mount.  

As for DACs, I tried a bunch of ESS chip DACs and found them all glassy and hard sounding.  I ended up with a Denafrips Pontus II.  I tried to avoid Chi-Fi, but after trying cheaper DACs from Cambridge Audio, Project, FiiO, and the Schiit Gumby, I gave in and got the Pontus II.  Still breaking it in, but it seems to avoid that harsh, glassy sound without losing any detail retrieval.

@zlone I'm intrigued by your Pi/Allo setup.  Early on, my first headphone setup used a Pi w/ HiFiBerry Hat.  It worked out really well to stream Spotify -- it was basically set and forget.  I still have a few raspberryPi 3 and 4, so I'll check this out and report back!