I think the Eidolons are lovely, lovely loudspeakers.
You might start out with your Avalon dealer. Avalon is a pretty big-name line, and chances are an Avalon dealership will have made darn sure they have suitable amplifiers to drive them with. I have a very good impression of Avalon as a company, and would expect their dealers to be quite competent.
On the subject of the audio press, I don't know very many of them personally but of the people I've met and gotten to know a bit, I don't think any are insincere. It might be worthwhile to consider making exceptions to your aversion towards the audio media. See if you can find a reviewer or two whose opinions and perceptions consistently parallel your own. You don't need a hundred off-the-wall opinions; you only need one or two reliable ones.
When I was a newbie SoundLab dealer, I called up SoundLab and asked them to recommend an amplifier line or two to me. They balked, saying they didn't like to make recommendations. Hmmmm. Okay, I rephrased the question - I asked them who they had shown with at CES. Well that loosened their tongues and they talked on and on about this show and that show, within a few months I was a dealer for several amplifier lines that they'd been especially happy pairing up with.
You might try that. See who Avalon chooses to show with at audio shows. I can recall seeing them exhibit with solid state amplification from Boulder, Rowland, and BAT - and I'm sure there were others. Back when I was in New Orleans I was a Rowland dealer, and at one time I was talking with Avalon about possibly representing them as well. They asked me what amplifier lines I carried, and when I got to Rowland they told me that was an excellent match with their speakers.
Finally, what is it the Goldmunds aren't doing for you? What improvements are you looking for? Would it be worthwhile for you to go back to your Goldmund dealer and describe to him what improvements you seek, in case he carries something else that would better serve you? Maybe he'd take the amp back in trade.
Best of luck in your search,
Duke