The only speakers that I can think of that would satisfy your requirements (without the need of a subwoofer) will require you to troll the used market, but are well within your price range. Thiel CS3.6. I recently picked up a pair that look brand new for well under that. They are indeed very much a full-range speaker (29Hz-20kHz, +/- 1.5 db), and I think do a pretty darn good job of hitting all of your requirements. And Thiel will, in general, continue to honor warranty repairs beyond the 10 year period and for subsequent owners, so long as it was not user abuse.
Tom.
Tom.