The Adcom 565 is not a bad little preamp in a modest system, but it will not be up to the task of a $3000 cartridge, IMHO. I have not heard the M97XE, but the Blackbird is a pretty good cartridge, I owned one for a while.
As for a $2K phono preamp, a used Herron VTPH-1 would be a very good start, but I wouldn't do that if you are just planning to run the phono preamp through your Adcom 565, that would put you back to square 1. Personally, I prefer tubes over solid state, and I would recommend looking for a full function preamp to replace your 565, not just a phono preamp. You should be able to get a used Cary SLP-98P for ~$2K. I don't know what amp you are using, or if a tube preamp could be an issue. If you wish to stay with solid state, I would look for a used full function Klyne or Jeff Rowland preamp. Full function simply means that the preamp has both line stage and phono stage in one unit. Happy hunting.
As for a $2K phono preamp, a used Herron VTPH-1 would be a very good start, but I wouldn't do that if you are just planning to run the phono preamp through your Adcom 565, that would put you back to square 1. Personally, I prefer tubes over solid state, and I would recommend looking for a full function preamp to replace your 565, not just a phono preamp. You should be able to get a used Cary SLP-98P for ~$2K. I don't know what amp you are using, or if a tube preamp could be an issue. If you wish to stay with solid state, I would look for a used full function Klyne or Jeff Rowland preamp. Full function simply means that the preamp has both line stage and phono stage in one unit. Happy hunting.