Well Jim, from what I've read from you in the past, I think you would prefer your VK-5i. It is warmer than the VK-51SE. BAT in general is more dynamic and powerful than the CJ's and VAC's, I think the answer lies in the bigger power supplies. That said, the VK-51SE uses the 6H30 'Super-tube', which may or may not be super, depending on your cup 'o tea. There is no doubt that the 6H30 tube is more dynamic, powerful and just sounds larger than the 6922's, however, it's not for everyone. If you do not like the newer CJ's that use the 6H30, you may not like the newer BAT's that use them either. The older 6922 tube does have a sweeter midrange. The CJ Premier 16LS mk II I had was a 6922 based preamp, it was second from the top of the line (Art 2) and listed for around $8500 new. I didn't notice it making a racket when the volume was adjusted though.
The VK-51SE had better dynamics and bass than any preamp I've heard, period. Not just better than any tube preamp, but better than Krell, Levinson, Classe, Threshold or any SS contender. The VK-51SE midrange is definitely tubed, and best all SS preamps I've heard in this regard, but I have heard warmer, sweeter mid's in tubed preamps. However, the other tubed units don't have the rhythmic drive and power that I love from the BAT. The BAT is also the soundstage king. One thing that may interest you about BAT is that your VK-5i has 5881 tubes in the power supplies. BAT got away from tubes in the power supplies with the 50SE and then the 51SE. Well BAT is just releasing it's new preamps, VK-32SE, VK-52SE/Rex, the difference? Tubes are now back in the power supply.
Things that make you go hmmmmmmmmmm.........
One current preamp that sounds like it may fit your budget and sonics, and fill your remote flexibility requirements is an Aesthetix Calypso. Have you considered this model? I would love to hear one, as it has garnered unbelieveable reviews from Stereophile and TAS. On top of that I've heard it's the real deal from those whose ears I trust. I have never heard anything negative about it's sonics. The only complaints are that it can be tough on tubes and tube rolling is not easy. At $4500 list price it probably cannot be beat for sound and flexibility. Many say that you have to spend twice the price to better it.
John