Maybe if I flush my system with vast quantities of beer at the same time...

I do not believe that's entirely true. Recent studies have found that burned charred oils and fats (read -blackened) are the culprits, not always grilling or BBQ per se. Here are some BBQ tips from USA Weekend to 'Cancer proof' your grill.

http://www.usaweekend.com/01_issues/010701/010701eatsmart.html

It's even worse if you are cooking pork products. Apparently some little piggies have been quarantined because they were fed contaminated pet food.

Contaminated with melamine. If it's that toxic, why do we make counters out of it? (Yes, it's the same melamine).

Well, we don't tend to mix the counter in with the food.