I think the C370 is a fine amplifier and wouldn't find it odd to see one driving $3k speakers, as long as the power and impedance specifications are a good match.
$3k gets to a price point where you really ought to seek the opportunity to home audition a pair of speakers, so that you can be certain that they are a good fit for your needs in your own listening environment. I have not paid that much for a single pair of speakers because of other competing priorities in life, but based on what I've heard in showrooms and other people's systems, $3k to $5k is still within a range where you still get sizable gains in audio quality for going the "next step up". I am of the opinion that once you get beyond $5k, a pair of speakers should have no excuse for lack of competence in any area (other than low bass below 25-30Hz), and the good speakers in that range are largely differentiated mostly by voicing and consequences of intentional design characteristics (dipole, open baffle, arrays, etc.).
Last but certainly not the least, if you do get $3k worth of speakers, consider some acoustic treatments for your listening room. You don't have to go crazy with the panels and go turn your listening room into an anechoic chamber, but a couple or few well placed panels, possibly disguised as wall art, can do wonders to improve the sound. For a few hundred dollars, room treatment will get you far more improvement in sound than the same amount invested in a better amp than the C370.
Edited by Jack C - 5/11/11 at 6:40am