Bad news guys. There never was any such deal. The SOVIETS invented the tale to cover their retreat, although the decision to emphasize ICBMs over short-range missles in Cuba was certainly to their advantage in the long-run.
The decision to remove the short-range(less than 170 miles) missles was taken under Eisenhower, not JFK, and only 15 of the 72 remained when the crisis erupted. Given the poor range and the fact that these missles could not be protected or hardened in any way, enabling a single rogue Soviet plane to take out 72 of our nukes just seemed a bad risk. In fact, the entire class of missles was being removed, Turkey last of the nations to host them, for this reason. I believe it was 1959 that a war game suggested that a dozen bombers flying CONVENTIONAL strikes could destroy most of them, so the decision was made.
The Soviets did not trade 44 missles threatening most of the southeast US, another 40 threatening everything important east of the Mississippi, AND any more to come, all for 15 puny ranged missles already being retired.