The then-CIA director and then-chairman of the Joint Chiefs of Staff said the best time would be Fall of 1963.
James Galbraith and Heather Purcell wrote about it:
Did the U.S. Military Plan a Nuclear First Strike for 1963?
Recently declassified information shows that the military presented President Kennedy with a plan for a surprise nuclear attack on the Soviet Union in the early 1960s. James K. Galbraith and Heather A. Purcell | September 21, 1994
During the early 1960s the intercontinental ballistic missile (ICBM) introduced the world to the possibility of instant total war. Thirty years later, no nation has yet fired any nuclear missile at a real target. Orthodox history holds that a succession of defensive nuclear doctrines and strategies -- from "massive retaliation" to "mutual assured destruction" -- worked, almost seamlessly, to deter Soviet aggression against the United States and to prevent the use of nuclear weapons.
The possibility of U.S. aggression in nuclear conflict is seldom considered. And why should it be? Virtually nothing in the public record suggests that high U.S. authorities ever contemplated a first strike against the Soviet Union, except in response to a Soviet invasion of Western Europe, or that they doubted the deterrent power of Soviet nuclear forces. The main documented exception was the Air Force Chief of Staff in the early 1960s, Curtis LeMay, a seemingly idiosyncratic case.
But beginning in 1957 the U.S. military did prepare plans for a preemptive nuclear strike against the U.S.S.R., based on our growing lead in land-based missiles. And top military and intelligence leaders presented an assessment of those plans to President John F. Kennedy in July of 1961. At that time, some high Air Force and CIA leaders apparently believed that a window of outright ballistic missile superiority, perhaps sufficient for a successful first strike, would be open in late 1963.
The document reproduced opposite is published here for the first time. It describes a meeting of the National Security Council on July 20, 1961. At that meeting, the document shows, the chairman of the Joint Chiefs of Staff, the director of the CIA, and others presented plans for a surprise attack. They answered some questions from Kennedy about timing and effects, and promised further information. The meeting recessed under a presidential injunction of secrecy that has not been broken until now.
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http://www.prospect.org/cs/articles?article=did_the_us_military_plan_a_nuclear_first_strike_for_1963 We don't live in gangster times. This is the time of traitors.