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I don't believe that diet has much to do with improving things for sufferers - no matter what I eat once my digestive system starts to do its job and an attack comes on the first thing you want to do is to be sick and/or evacuate the lower bowel.
I lose weight when going through a phase as I fear eating. I generally partake of things that I can suck and let my mouth take over a lot of the work of the digestive system.
Beer is a foodstuff with ingredients such as malt, barley, hops sugar etc - however this is a no fly zone as alcohol is a definite trigger for cluster headaches.