I had my equipment with me, and I had time to get at least an on axis measurement.
These measurements are quasi anechoic. So you can not be overconfident of the results below about 200 Hz, but you can rely on them from 200 Hz to at least 15 KHz.
Now you will note a 3db rise between 2 KHz and 7 to 8 KHz. Now even the slightest rise in response here will make the listener reach for a warm button if there were such a thing. So in order for an amp to do what you want it would have to have dip of 3 db in the above range.
Now many have noted that a rise in FR is far more unpleasant than a dip, especially if the rise is between 2 and 5 KHz. The BBC noted this years ago, and in order to play it safe designed BBC monitors with a dip in that region. This became known as the "BBC smiley." This practice was widely adopted by many British speaker manufacturers, and some still follow the practice. It does produce a warmer more laid back sound.
So you will not change your situation by changing an amp, because no self respecting amp designer is going to release an amp with a frequency response error of that magnitude.
If you had a receiver with Eq, you could try and pull that range down 3db. Unfortunately there was a snow storm coming so time did not permit off axis measurements.
Equalization can not guarantee perfection, as it will affect the axis and off axis responses equally, which may not be what is required. That is why equalization does not always provide the results expected.
This was the response on axis of my speakers in the same room before I sold the home.
This image also contains the axial responses.
You will note that both mine and the Elac speakers have that rise at 50 Hz, and that leads me to believe it is a room interaction.
The same speakers in my new AV room, which is a bigger and optimally dimensioned does not show that 50 Hz rise.
So to cut to the chase, unless you are extraordinarily lucky to find am amp with just the right frequency response to be the inverse of your speaker aberration you will not solve your problem. You have more chance of winning the lottery.
The bottom line is that these dissatisfactions of the type your describe can be universally explained by good frequency response measurements. The combined axis and off axis FR, and the resultant in room power response is the most overriding and important determinant of the quality and character of the sound you hear. There are other determinants, but if the FR is not dead right, then that aces out other virtues. I would say, that every one truly experienced in sound reproduction would agree with that statement.
Unfortunately there are opinionated clowns not schooled in science who dredge bilge from the backs of the necks sowing endless confusion and falsehoods.
I have given you the facts.