Wondering if a small brace would help, like a piece of wood with notched ends, on like a U-notch to fit around the neck of the cock, the other notched to rest on the back edge of the pan. Make it just long enough that it stops the cock a few millimeters off of the half-cock position. Even better would be a threaded rod with U-notched ends that can be adjusted to lengthen the brace.