Even if you're in an area without any major publicized elections, check if there are small elections or proposals on the ballot. (Sorry, I only know how to do that in Michigan.) In my area, it's just one proposal on the ballot that I haven't even seen any campaigning on, but it's an important one: renewing a millage for the school district.
Remember that with the low turn-out in off-off-year elections, your vote matters even more. I remember going near closing time one year and they had only had around 10 voters all day in my precinct (though that may have been on a "primary" day in an off-year, not sure). This is not a tiny precinct; in 2012 there were hour-long lines. Your vote could make a huge difference in a local election or in renewing a tax millage or something like that.