Who makes speakers with relaxed high freq.?

Spendor for sure. Perhaps Audio Physic Virgos (but these need to be positioned well away from walls.

I would recommend a pair of Vienna Acoustics Mozarts, not very bright and plenty of bottom end to balance out any room interaction on the highs. Also you could just try a warm amp like a Conrad Johnson, or warm cables like Cardas Golden Cross....this would likely tame down any speaker.

I will second Flg2001's suggestion of a soft dome (non-metalic) tweeter . It worked for me .

Polk LSi 15, no joke. Save yourself some money and buy music. My recommendation would be the amazing Polk Audio LSi 15 speakers with the incredibly refined Ring Radiator tweeter. Read up on them here and elsewhere. OK so you have to live with a Polk badge, but these are a STEAL for the money, I doubt you would find anything as complete or as better, both in build and sonics, than these slim beauties for anywhere around your budget. And your friend's jaws will drop when they find out how good they sound for so little money. They sound huge and have a wide soudstage. Heck, put 'em in the basement for the kids if you don't like 'em !

If I could make a suggestion; if your room is bright as you suggest due to highly refelctive surfaces, I would suggest looking for a speaker that has less dispersion, therefore avoiding the bounce in the first place. You might look into a ZU Druid, it might have what you are looking for.

Good Luck