Outlier, if your Avantis cannot work to your satisfaction I have another recommendation. And they come in fairly well below your $10K limit.
The new Janszen zA2.1 projects a large, full, and detailed musical presentation from a modest sized package. It is a hybrid with electrostatic mid/tweeter above 500 Hz and dual cone woofers below. Three things make it unusual, beyond it's sonic capabilities. First is the rear of the cabinet is enclosed, rather than open as with most dipole drivers. Therefore it can be placed closer to the front wall than many other speakers while still presenting a wide and deep soundstage. My pair sits out only 15" from the wall after careful experimentation with placement. Second is the excellent integration for a hybrid design. Any others I've heard have some level of discontinuity between the electrostatic and cone drivers, but not the zA2.1s. Third is they are easier to drive than most electrostatics. Nominal impedance is rated at 6 ohms but their load only varies from 4 to 10 ohms. And while rated at 87 dB efficiency, when the controls are increased to the top of their respective ranges (+3 woofer and 0 mid/tweeter) they are closer to 90 dB. I imagine your JEs would sound wonderful, although they provide more power than would be needed.
Anyway, good luck.