A different thought, perhaps, with a zero baffle speaker. Many report Spatial M4 Holgram speakers work well in small rooms as they interact less with the room. As low as $2k new with 60 day return policy. I don't own, and haven't heard, but I've been fascinated reading about them. Been daydreaming about matching with a Prima Luna amp, easily in your budget.
https://forum.audiogon.com/discussions/spatial-audio-hologram-m4-turbo-s-speakers-a-review
https://positive-feedback.com/reviews/hardware-reviews/spatial-audio-hologram-m4-triode-master-loudspeakers/
https://darko.audio/2016/04/spatial-audio-factory-tour-hologram-m4-review/
https://forum.audiogon.com/discussions/spatial-audio-hologram-m4-turbo-s-speakers-a-review
https://positive-feedback.com/reviews/hardware-reviews/spatial-audio-hologram-m4-triode-master-loudspeakers/
https://darko.audio/2016/04/spatial-audio-factory-tour-hologram-m4-review/