Speakers for BAT system?


I am building a new system after many years of absence from this hobby. I know that usually it is advised to start with the speakers and once you've selected speakers that sound "right" to you, next you build the system that complements the speakers. I came across a good deal on some BAT equipment and could not resist... So, it's like this so far:
Meridian 588, BAT VK-31SE and BAT VK-250. Now I am looking for speakers that would be a good match to the rest of the system. I mostly listen to Blues, Jazz, Acoustic and Spanish/Flamenco guitar but some Classic Rock and Classical music CD's also get a workout sometimes. Can you guys suggest some speakers so I can narrow the choices down and start auditioning them?
Thanks.
flyski
The room is 22x15, no treatments but has a rug and a sofa. I would prefer floor standers. My budget is $4k.
I have BAT VK-150SE's,VK-5SE and VK-D5SE.Speakers are B&W Nautilus 803's and I love it.For Classical,Acoustic,Rock,everything sounds amazing.
I have a 31se and vk-250. Absolutely love Wilson Benesch speakers (I have Arcs with REL sub). They are coherent, still detailed , with great power. The most unboxy sounding box speaker available.
I have a BAT VK55/3ix combination driving a pair of Hyperion 938 loudspeakers and highly recommend auditioning this amazing speaker along with the other suggestions that are being presented. It may be a challenge to find a dealer that has a pair in stock to demo, but I feel that it is well worth the effort.

Good luck in your speaker search.