Alcohol is a vasodilator, so your veins get big when you drink, and inflammation occurs.
Inflammation is itchy.
If it is a pretty strong localized itch every time you drink a bunch of beer though, it might be good to get that checked out. There’s a thousand other intersecting conditions that alcohol consumption could be interacting with(or not be, so talk to someone with an MD), but that is not a common, acute or severe enough condition to get an undeniable answer, or probably even a close approximation, here.
Drinking alcohol can increase your blood pressure, and a symptom of increased blood pressure is tingling in the extremities.
Alcohol intolerance or allergic reaction?
Gluten allergy doesn’t always give you diarrhea @spasm01@lemmy.world it could just be slowly driving your immune system into constant overdrive which then attacks things like your digestive and nervous system.
Go see a doctor.
May be a symptom of gout.