It’s pretty hard to damage AVRs these days, as they all have protection circuitry that shuts them down before damage occurs.
That said, you will not find any 7-channel AVR that will run for long at that impedance. The demand for more and more channels has taken its toll, and the result is fewer and fewer that can handle 4-ohm loads, whereas it used to be no problem for old stereo receivers. A 7-channel amp that can handle 4-ohm speakers can be very heavy – mine weighs 65 lbs.
Indeed, it’s even getting hard for multichannel amps to handle 8-ohm loads at any appreciable wattage. The reason they have started rating their amplifiers at 6-ohms is that it lets them publish a higher number for their wattage figures.
Bottom line, only (some) pro-audio amplifiers can handle 2-ohm loads, and they are typically only two-channel. It would cost well over $1000 for enough of them to run your speakers. I have a feeling you won’t think they are worth spending that much money for.
Regards,
Wayne A. Pflughaupt