The President is the Commander In Chief of the armed forces and has all discretion on the execution of war.
If the Legislative branch wishes to restrict the use of nuclear weapons they will have to use the power of the purse and not provide funds for their purchase or maintenance.
Any other restrictions would be a usurpation of power.
The only Constitutional thing that Congress could do from a "moral" standpoint is refuse to declare a state of war against the nation that would be a potential target of a nuclear first strike.
Then we would have to see just how dire relations are between the two countries such that a nuclear strike is actually on the table as a reasonable proportional use of force, versus Congress's unwillingness to declare war amid those tensions.
-PJ