There's an entire class of drugs which shuts down migraines by dilating blood vessels in the brain. https://en.wikipedia.org/wiki/Triptan - it's not a coincidence that these drugs target the 5-HT1B and 1D family of receptors (LSD targets 5-HT1A as an agonist, and it's thought to cause some of the stimulant effects of LSD)

LSD doesn't "cure" migraines, there will never be a trial. It will stop migraines, but so will triptans, and you know, without the side-effect of wiggin' nuts.