The Jamo's can handle the power of the 863, it's not like you are running them with 75 watts rms all the time. Most people use about 1-2 watts for most listening(75-95db) depending on the sensitivity of their speakers, Peaks will usually hit around 100watts unless you are in a large room or have very in-efficient speakers.
But as you say the Jamos are getting old and you most likely would like a new/different sound to go with the new avr, I would look to Kef, Orb for sattelites or some smallish bookshelf speakers like av123 Rocket 250's or Axiomaudio M2s as another possibility although I think most of these are above your $700 budget if you include a good sub like the SVS PB10nsd or eD a2-350.
But as you say the Jamos are getting old and you most likely would like a new/different sound to go with the new avr, I would look to Kef, Orb for sattelites or some smallish bookshelf speakers like av123 Rocket 250's or Axiomaudio M2s as another possibility although I think most of these are above your $700 budget if you include a good sub like the SVS PB10nsd or eD a2-350.