Yashu,
My Cary 306 SACD does almost exactly what you say your 303t does. Have you ever sent it back to Cary? I just purchased mine used several weeks ago and am considering sending in to Cary for a look. Also, it will skip on both store bought CD's & CD-R's but more often on CD-R's.
However, as you say, it does sound great and I really like it's tonality. Overall, I don't think it sounds too bright; perhaps maybe on few CD's. I believe it's the CD's, not the player responsible for the bright or sibilant vocals I rarely experience.