Hi DILE,
For $5K, you should be able to get a s/hand ARC Ref 3...very, very good. Single-ended and balanced.
I cannot comment on BAT v MC as i am not familiar with Mc sound. If you wish to stick with tubes, i do not think many people could strongly disagree...it is a solid decision with the right tube amp. And both brands have good reputations.
Onemug's suggestion is a good one...getting your feedback will be helpful as you audition.
As for CAT, i have heard these are excellent. i (think) CAT is a company where one needs to watch maintenance and care a bit. double-check this...i could be wrong, but i thought there were some posts here about that. nothing major, just that it requires a little more hands-on maintenance from the owner than some other brands?
do you have access to Audio Research? AGain, try a s/hand ARC Ref 3. there are a couple on AGon. good luck!