What integrated can replace over -bright exposure 3010?

rrm - Not to discount the other advice provided (esp. experimenting with different wire) but in swapping between different ampsI owned, was surprised to find a Hegel H-200 warmer sounding than the tubed pre/monoblocks (EL34) that I’d been running. This was driving Totem Forests (metal dome tweeters).

rrm - something low tech to try before spending on cable or new electronics...
Have you installed any vibration damping under your source and amp? You might try something as low tech as white gum erasers from an art supply store just to see if they take any edge off the "too bright". It might not work at all but might help a bit. Before the experts jump on this, it’s not necessarily the typical benefit looked for with vibration damping. A more widely expected benefit would be enhanced resolution and sound staging etc., not tonal balance. Still, I think it is worth a shot. You can spend a bunch on vibration damping. Maybe you are already very familiar with this area. If not, Herbie’s Audio Lab (esp., Tenderfeet) and Vibrapod Cones & Isolators are a couple of commercial sources that are low cost and have been found helpful by others.

As far as flat speaker cable goes, I think Mapleshade Audio supplies wire that is "flat" ribbon type.