Lot's of North Eastern folks here making the I95 journey. We are from the middle of NY, and also drive down I95.
For us, there is always an overnight stop in South Carolina. We've tried leaving home in the morning, and leaving home EARLY in the morning (2:30am). Last year, we left here at 1:30 in the afternoon, and I was quite surprised at how well it worked out. We got through New Jersey before the evening rush, and by the time we got to D.C. the traffic there had settled down. I95 in Virginia was fine. The ONLY slow ups on the way down were on the belt parkway really. We made it to Manning SC right around 2:00am, grabbed a few hours sleep, and were in Disney by 1:30 in the afternoon.