Power for Focal Aria 936


Hi all,
Just ordered a pair of Focal Aria 936s. Focal reports a sensitivity of 92dB, but a minimum impedance of 2.8 ohms is reported:
https://www.stereophile.com/content/focal-aria-936-loudspeaker-measurements

So how much power do I really need to optimize these speakers (large room)?
Current budget for power is only $1K, either integrated or pre + power. I'm certainly open to something 2-4 years old used.

Thanks for any suggestions/thoughts.
islet
Thanks for the comments so far: Parasound A23, as well as older HCA-2200 are in the price range. Obviously a bit concerned about helomech's comments about heat (though the HCA-2200 pushes 750 WPC at 4 Ohms...
Not familiar with Schmitt's. Good reviews, very intriguing. Anyone with experience out there with these? Sound quality?
I'm always nervous about "audiophile quality at mid-fi prices. Emotiva is in that category as well. Locally I found a Parasound HCA1000a and Emotiva USP-1 for $300 apiece.
Thoughts on those and the above??
I also see an Adcom GFA-555se for $650 (purchased in 2015), and a pair of Emotiva XPA-1L mono blocks for $700 on Audiogon right now.
Any experience with those?
If I were you I'd be sniffing out some Schitt and I wouldn't be put off by the price. A LOT of what you're buying with more expensive amps is a very expensive case. My F5 is in a very plain-jane chassis and it was over a third of the cost of the things. The 5U chassis would have been half. The Vidar is a decently built amp optimized to drive very reactive loads. Plus, you'll get a warranty with it. Had I not decided to build something I probably would have bought a few. 
So I've done some homework on the Schiit Vidar. One review mentions that low impedance at higher volume (which I do enjoy, especially as the ears age...) may trip the protection circuit.  http://www.ilounge.com/index.php/reviews/entry/schiit-vidar-power-amplifier
That makes me nervous, even though sure seems like you get a lot for your money. Anyone out there using the Vidar to drive the 936s?
Any thoughts on the Adcom or Emotive options above, or other suggestions?

Is your budget $1K for just the amp or you need an amp and preamp, or an integrated amplifier for that budget? If the latter, I'd suggest looking into Vincent and they have a couple of models that should fit your budget. Or maybe a Parasound Halo integrated. If the former, I think you'll have to be patient and see if something comes up for sale in the used market, probably a vintage amplifier, that can handle a 2 ohm load on a sustained high volume scenario. I picked up a McIntosh MC2200 - later bought a second one, for around $1K and really like how it sounds with my Martin Logan speakers. Many newer moderately priced high powered amplifiers tend to get a bit grainy when they see higher loads (lower impedance) at high listening levels. Your speakers are really good and they can shine when fed properly. Good luck.