I have owned the BAT VK-31SE, 50SE, and 51SE. I have also had in home auditions of the VK-3iXSE and VK-32SE. Also, I have owned the ARC Ref 3. I would say that the choice would come down to your sonic preferences. The BAT will be more powerful and dynamic, while the ARC will present more articulation and definition. IMHO, The ARC Ref 3 was the best preamp that I've ever heard/ owned.
If your system needs more power/slam, you may prefer the BAT though.
Cheers,
John