Should Congress refuse to vote this out to the states there is an alternative. If 2/3 of the State legislatures pass a resolution to call a Constitutional Convention, Congress is required by Article V of the Constitution to set a date and place for it. Anything passed by that convention goes to the states as if it had been passed by Congress, at which point adoption by 3/4 of the states makes it part of the Constitution.
Constitutional conventions are the worst possible solution. The last thing I want is a bunch of politicians with open season on the 1st, 2nd, 4th, 5th, and 10th amendments.