A few thoughts…
First, that’s a tough room not only because it’s small but because it’s square — it’s a bass nightmare, and I would not try to shoehorn floorstanders in there because you’ll have to fight those issues and may not even be able to overcome it. Before I got a house I had an apartment with a 13x13 living room and it was a disaster for bass issues. Don’t do it.
Next, if you’re not already, doing it, use the i2S connection from the Iris to your DAC. I did this and it was transformative in terms of a lower noise floor, clarity, detail, and soundstage/imaging. Everything just popped more within a clear 3D stage. I got these results using this cheap $6 HDMI cable from Monoprice — I’m of the opinion the HDMI cable might not be that important as long as it’s as short as possible and preferably less than one foot (I got the 0.5 foot length).
https://www.monoprice.com/product?p_id=13578
As mentioned above, bass traps in that room could improve things significantly. Also, adding a couple small subs with room integration software like the SVS SB1000 Pro subs ($1150/pr with risk-free trial period including shipping both ways) might well be worth a try rather than struggling to wrestle floorstanders in there. You’ll get the full-range experience, but the bass will be much more flexible and manageable, especially in your room.
On the more extreme side you could try speakers like these nice Joseph Audio Pulsar 2s that may be a bit more transparent and neutral.
https://www.usaudiomart.com/details/649977097-joseph-audio-pulsar-speakers-upgraded-to-pulsar-2-graphene-spec-in-late-22/
Last, if you’re looking for more detail/clarity the Aleph 60 may not be helping as it’s more on the warm/smooth side. Have you tried the JC5 in that room?
Anyway, sorry for the brain dump but hope it at least gives you some things to chew on and hope it helps. Best of luck in your quest!