Definitely not the JC5 with your Heresy speakers!
High powered solid state amps are a definite miss match.
If you like the Klipsch sound it can be made refined and dynamic with a robust tube integrated amplifier. The Rogue Audio Cronus Magnum III has amazing synergy with Klipsch heritage speakers including the Heresy, Forte and LaScala.
One of the best sounding systems I have heard was the Cronus Magnum and LaScala speakers. Really nice.
The Atlas Magnum is the equivalent power amp if you do not need an integrated, or the Rogue Stereo 100 if you want balanced inputs.
Save some money and get better sound!