Cables?!? Are any of your patches of the solderless George L / Lava variety?
If you've deduced that it is occurring within the Mesa, then check the board for any cracked solder joints, especially if the jacks are surface mount. Also check the filter caps' connection to the board, sometimes the solder joints crack, if so, after resoldering, you can use a glue gun to reinforce the caps on the board.