Quacks of Quedlingburg Crow Skull Set 2 Keep Drawing
No you can't continue to draw after your pot explodes.

The only ability listed for the Crow Skull set 2 is that you receive both victory points and coins if your pot explodes in the next 1/2/4 draws - it says nothing about allowing you to continue to draw after your pot explodes.

Thus the normal rules for stopping when your pot explodes would still apply.