If you listen to anything other than Classic Jazz, don't read this.

Your choice of music should not impact speaker choice beyond bass capability.


You didn't mention room acoustics. Changing speakers without addressing acoustics gets you not very far.

You might want to consider adding tone controls such as a Schiit Loki, to see what your current system is capable of when given some extra go juice on the low end.

You mentioned being able to A/B against your current system.  There are companies like Music Direct, Crutchfield and Zu that give you 60 days in your home.

@ericmbass 
I have Janszen zA2.1 speakers with Linear Tube Audio ZOTL40 and Preamp. This is a combination to make a jazz enthusiast weep. I finally got this setup in a bigger room so the speakers can breath a little and they are beautiful to look at.

Lance

In reality a speaker is either good on all genres of music or it is not a good speaker. It can be no other way. In fact, if a reviewer ever recommends a particular speaker for a specific type of music you should immediately discount this individual as a source of future information.  

Ah, I blew it; I read the post. Now, you'll have to endure my reply! 

Is the OP so steeped in the culture of live Jazz music, and so ignorant of electronics, that he has no idea how obtuse, how idiosyncratic his search criteria?

As a reviewer, I will make it clear; selection of one limited genre of music for assessment of a speaker, or any component is self-defeating. It is like looking for an athlete to compete in the decathlon, but assessing their ability by only desiring to know how they perform in the Javelin throw. 

Note well: A speaker that performs better in all musical genres will perform better in Classical Jazz. If someone is telling you otherwise, they are giving you horrid advice, and or have vested interests in the guidance. 

Almost without fail in 30 years+ of involvement in the High End, speakers that are said to perform with certain genres of music better, are worse speakers holistically. They are usually quite limited in critical areas of performance, tonally as well. 

You may wish to consider my adage born of much system building and assessment of hundreds of speakers: The greatest impediment to advancing an audio system is the audiophile.  

Now, you didn't want my advice, but I gave it to you anyway as a cordial response to what I saw as a dismissive, pride-filled first post. (You may have been using very dry humor, and I have given you the benefit of the doubt, so to speak)

Welcome to the community! I hope you are successful in your search. It should not be too difficult to improve markedly upon the speakers you currently own. There are numerous levels of sound quality improvement available to you. Imo, at this stage you are closer to the midway point on the High End performance spectrum than the top.   :)