This speaker is way too big for your room. There is an error in your specs. The efficiency is not 102db. It is more like 88db, but the Kappa 9 has a volume threshold and refuses to play loud with most amplifiers. Besides that it is a difficult load for amplifiers. Your budget of $2500 will most likely be spent on a used Krell or Levinson amplifier in an effort to drive your Kappa 9 speakers properly.
If you like Infinity speakers I recommend you sell the Kappa 9 and buy a much smaller Infinity speaker more suited to the size of your room and less finicky about electronics and you will have much better sound.
If you like Infinity speakers I recommend you sell the Kappa 9 and buy a much smaller Infinity speaker more suited to the size of your room and less finicky about electronics and you will have much better sound.