We're southeast Indiana, About an hour's drive south of Indy, about 35 miles outside of Cincinnati Ohio. Our drive to HH takes about 11 - 12 hours, depending on traffic and weather.
The one main difference you'll find between driving I-95 from NJ is that instead of going down the coast, with it's high traffic, you'll be going through the mountains, but with less traffic. So even though the miles aren't so bad, trucks or bad weather in the mountains can slow you down.
I forget the actual mileage to HH, but I think it's around 600. From our home to WDW is right at 950 miles. We can actually do that in less than 15 hours (driving time, excluding stops, gas, food etc)
One thing that's nice is being able to make a triangular route between Indiana, HHI, and WDW. Thus, stopping at HH either on the way down or the way back from WDW. This way you can stay at both resort areas on one vacation. This works out great.
You'll like Indiana, much less crowded than NJ. (I lived in Eatontown for a few years back in the late 70's)