Take a look at the Google Trends snippet above – you will see that the majority of Google searches for the Hocking Hills, the local state park for which Logan, OH is famous for, peaks during certain parts of the year. The above tells me that if I am a business owner in Logan, OH, the majority of people who are interested in my town are going to be interested between the months of April and August (tourist season).
From December and March, I can expect things to be a bit slow in town, so maybe run some local specials to promote extra hard during that period of time.