One last thing to try before you spend the time/money getting a cap kit and doing all the soldering work.  In addition to the pots on the flyback (screen/focus) there's also a bunch on the chassis.  There should be some for brightness/contrast and then on the neck board there should be some for the RGB lines.  Try playing with all those pots and see if that helps things out.  I think the caps *usually* fix problems with distortion and other graphical anomalies..not necessarily color levels.  If those still don't fix it, then yes, a normal k7000 cap kit should cover that chassis.
Scott