This is may be a known medical phenomenon. It is a result of a deficiency in one of the two enzymes used in the liver to metabolise alcohol (aldehyde dehydrogenase). This leaves an unwanted chemical (acetaldehyde) behind which can result in the flush you describe, and also sweating. In people who are severely deficient it can mean they are somewhat intolerant of alcohol and become quite ill after only a small amount.
It is unfortunately largely a genetics thing - its our genes which govern the production of enzymes. Asian (oriental) people are often deficient, and Native Americans and Inuit people are usually completely deficient - resulting in the problems these races can have with alcohol. Women also have smaller amounts of the enzyme, partly explaining why women in general can't drink as much as men.
Have a read of this
http://answers.google.com/answers/threadview?id=258303
for some possible solutions. They seem to advocate using an antacid, or large doses of niacin (a B-vitamin). Don't go over any recommended doses though if you do try this.