I live in Cincinnati and weather around here is usually OK that time of year, sometimes a little snow but nothing too bad. Now if you are going to be up in northern Ohio and then on to New York, you may encounter some bad weather because of the lake effect snow around the Great Lakes. It was about 32 degrees this morning here in Cincy and expected to be cool all week. I have lived in Ohio most of my life and I do remember a Halloween when I was a kid that we got 14 inches of snow and trick or treating was cancelled so there is always a CHANCE that you might hit bad weather but probably not too likely.
I guess the real question is how comfortable you would be driving if you did encounter snow. It wouldn't bother me unless it was a blizzard but I have driven in hazardous conditions since I was 16. My Mom lived in New England for a few years and she doesn't give driving in 2 feet of snow a thought, but she's very experienced in driving in deep snow. I have friends that come from warm states and they totally freak out with 1/2 in or freezing rain. Make your decision based on your confidence in yourself being able to deal with the decision. You don't want to be stressed out at your interviews because you spent the last 14 hours driving through a winter storm.
