It would be a 'in-the-moment' sort of deal certainly, obviously the fallout would do much more damage in the longer-term than the wave itself (Fukushima Tuna x100) nevermind the repercussions on something like that going off as a mere accident.
Safe would be somewhat subjective, considering my home is within the maximum radius of the blast front, if anything I would try to weasel my way to my cousin's house outside of town before the buttons are pressed...
Though as you said, global environmental collapse will turn every refuge into a grave, the Permian-Triassic Extinction will look like a cozy catastrophe by comparison.