Since the barrel breech "Should have been fitted tightly against the standing breech when built if the hing pin is enlarged "Only Enough" to compensate for wear in the hook it should not affect the draw. If after replacing the hinge pin the draw does not make contact then either 1; it never had it to begin with (Not properly fitted when new); 2- the pin has been made too big & barrels are not seating properly or 3- the frame has stretched.

Miller/TN
I Didn't Say Everything I Said, Yogi Berra