"Have you heard a speaker you loved over $3,000 that has the kind of sound you are looking for under $3,000. "
That's a very good point.
I find it is a better strategy to listen first for the best sound or sounds at any price to establish that as a reference first. Then look to find something in your price range that can come close. You'll be surprised how much satisfaction you can wean out of this approach with a little time and effort invested, especially if you room is not large and smaller designs like monitors, smaller floorstanders, etc. are all that is needed for top notch results.
After all you can't hit the target until you know for sure what the target is!