I recently undertook the same search with the same upper limit. I currently have Monitor Audio speakers (Bronze 5 I think) and considered, in no particular order:
Monitor Audio (I forget which ones)
Klipsch (but a newer version of the one I considered came out and was priced above the $4k limit)
Sierra Tower
LSA-20 (the more expensive one, most likely, as they are regularly on sale for $3k without a trial or a bit more with one)
Spatial M5 (would have preferred the M3, but they were above my limit)
Raven CeLest'
Decware speakers (considered a few)
Ohm Walsh
Salk speakers
I discarded the Klipsch after reading a couple reviews; other reviews suggested that the Salk speakers that were best for rock were above my price range), and I knocked out others that needed to be too far from the wall or too close to a corner. I was leaning toward the Sierra Tower or the LSA-20 had I gone for a more conventional speaker or the Spatial M5 if I thought they would work in my room (it's in a weird position). I decided on Decware ERR-x given my room dimensions. Will know in a couple months if I made a good choice.
Good luck deciding!