Last spring break I drank more than 100 beers in a week(I counted one day that I was averaging more than 20 a day kept this pace for 10 days give or take a few) but only got about 65 miles (there was no goal there just to get hammered and stay in shape) but I did manage to avoid hangovers by pounding gatorade, running then pounding more gatorade before begining to drink again.
Wish you the best of luck in your challenge.