I have made the drive from Baltimore many times.
From the southern portion of Baltimore, where I-95 crosses through the Ft. McHenry Tunnel, it is about 900 miles to the WDW exits from I-4. From here it takes 14-15 hours, depending on how many stops you make for gas, rest, and meals. I can't comment on the part from where you are to where I am, because I have never driven north along I-95 myself.
I typically dont make meal stops, only gas stops, which usually last about 15 minutes each. I have made the trip in as little as 14-1/2 hours, and have never taken more than 16, even with lots of extra stops.
Switch drivers every 3 hours or less. Driving long distances is very tiring, especially when driving overnight.
If you drive overnight, be sure to time your departure so that you pass through Baltimore and DC well after the evening rush hour has ended. If you get to the northern fringes of Baltimore after 7pm you should miss the bad traffic.
Take a wide variety of snacks and drinks with you. You may love Coke but after 8 or 10 hours you'll be craving something different.
I-95 through Georgia and the Carolinas is a great big EMPTY. It is the most boring, mind-numbing stretch of roadway I've ever encountered, so be ready for it. Music, games, books on tape, whatever it takes to stay awake and alert, and frequent changes of driver; 2-hour shifts instead of 3-hours are preferable through this part, especially if you hit it in the wee hours of the morning.
As to the route, is is a straight shot from Baltimore to Daytona along I-95, then you take I-4 for the last hour into Orlando and direct to WDW. It's easy; you only have to Interstates to remember the whole way!