If used speakers are acceptable, many of the large Dunlavy SC series should fit the budget. I bought a pair of SC-Vs a few years ago for $2500 after some negotiating. They are full-range by anyone's definition, flat to +/- 1.5dB anechoic and pair matched to be within .5 dB at 10' on the tweeter axis -- and they image like nothing else I have ever heard. I would have loved to hear what John Dunlavy could have built with modern dsp had he and his company survived another decade or so.
SC-4 are a little more manageable. The V weight about 300 lbs each.
Further, John was working on SOTA DSP speakers before he died. I got to hear John’s $250,000 DSP prototypes. Best speakers I had heard up to that point. He was a bass player and could not tolerate inaccurate bass. The foundation of all of his larger speakers was extremely good because of this sensitivity.
That said, ASR would have loved Dunlavey. He had a $100000 anechoic chamber into which he drove a forklift carrying each speaker he sold so that it could be tuned to measure +-1.5 dB. He drove my speakers into that chamber to prove to me that his were better. He advised me to buy Radio Shack interconnect because they were the best he had measure. He refused to enter into a lucrative partnership with Audioquest becuase most of their cables couldn’t even come close to the Radio Shack products.
He saved lives in Vietnam by inventing a radio antenna for the DoD that could be curled into a backpack so that the Viet Cong snipers wouldn’t immediately take out the radioman. Yes, used Dunlavey speakers are really worth checking out.