Running is great. Great way of switching off, whipping up some positive chemicals to wash around the body.
Running didn't stop me drinking though, with careful time tabling I could drink plenty and run. In fact, when preparing for a marathon I did a 22 mile training run in the morning, on one occasion, and managed to drink 3.5 bottles of wine later in the day. What a way to rehydrate.
Many will say that exercise reduces anxiety and stress levels, which many people respond to with drink. I think that is correct. I found that training and running gave me a separate 'skeleton' for my life, something to look forward to other than drinking times, also.
I don't drink now and I cannot run too well due to injury, but I know keeping fit is a huge thing.
Well done and GOOD LUCK with the race!