I think it would be detrimental to Obama to attempt to use the 14th to bypass congress. It will of course end up in the SC, and could very well lead to his impeachment, depending on their interpretation.
Maobama is impeachment proof so long as Reid is majority leader in the Senate. There is nothing in the 14th that allows the president to raise the debt ceiling, it basically instructs him to pay the debts and pensions before anything else. Ya might want to take a minute and read it.