Army Ten Miler 6 weeks after getting of post partum leave?

Do you think it'd be too soon to run the Army Ten Miler in October? I have my baby at the end of July and can't do anything until 6 weeks post partum (so no training). That brings me to mid September leaving me about a month to train. To give you a little history..I ran the Army Ten Miler last year and run during my pregnancy. I've cut my mileage back drastically by only running about 2-3 miles every other day. I'm not running for time just to complete.