Another Reform Proposal

Following my recent suggestion that we reform the method of electing our President, I give you another proposal via the Volokh Conspiracy, this one for amending the method of President Succession:

...the 1947 presidential Succession in Office Act should be amended to allow the Secretary of State to be third in line for the presidency after the president and vice president (hat tip Instapundit). Under the current system, the line of succession first goes through the Speaker of the House of Representatives and the President pro tempore of the Senate.

I can see advantages and disadvantages to this idea. On the plus side, it would mean a direct continuation of executive policy through one of the President's appointees. On the minus side, the President would be an unelected official. What do you think?