If used is OK then give consideration to the Vandersteen 2Ce Signature. I've seen a couple of pairs recently in your price range. Nice speakers, easy to drive, and definitely full range.
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Someone just posted a Platinum Audio Trio for $1000. This would more than satisfy any desire for excellent bass with fast, accurate, tuneful bass for your rock, hip-hop, jazz interests. This line of speakers is also able to provide excellent performance throughout remainder of sound spectrum. The conventional approach is to pair with high output, but refined transistor amp. All the other recommendations in this thread seem outstanding, too. Perhaps the serendipity (?spelling) of instant availability ( don't forget to bargain ) will make a decision easier when none of the recommended options is a mistake.