The eastern side is what I would consider if I had to move to Woodstock....maybe the Far East.
Right now the I-575 section sucks butt (better than 10 years ago, but still not great), but once they get the Northwest Corridor project complete it should get better (until the next town up goes through a housing boom). Woodstock, as part of Cherokee, went through a massive home expansion activity about two decades ago, which effed the infrastructure; They had the neighborhoods built where you could pass sugar from your neighbor by reaching out of the window, which they were not prepared for with highway access and local roads.
Your commute to I-75 will likely take a while from the East side of 575.
Zillow's app is freaking awesome for looking around and not being locked into a particular city, and based on YOUR criteria.