I can't comment on the B&K or Parasound HCA 2200 II. Sorry. Now for under a grand if you can find it I'd try a McCormack DNA-1 Deluxe. I have a pair of KEF 104/2s and for a bit I had a McCormack DNA-1 Deluxe powering them and in addition to the wide/vast soundstage the music was more forward. Since I had a smaller room it was a bit too forward for me and I moved to the smaller McCormack DNA .5 Deluxe and it was just enough for my 104/2s at the time.
Later I scored a deal on a Kavent S33 preamp (aka Vincent Audio SA93) and a Kavent P-3300 amp (aka Vincent Audio SP993) and this became my set-up for my KEF 104/2s. The S33/SA93 has remote capabilities and the P-3300 is a strong amp IMO that more than handles the KEF 104/2 speakers with ease. The P3300/SP993 if you can find them used should be under a grand. I've seen the S33(SA93) preamp used go for under $700 and that was a couple of years ago. It is probably cheaper now.
Best of luck with your search.