If you're arriving at the Jax airport about 9pm, you might not want to drive too far before getting a room for the night. Considering it might be 9:30 before you collect your luggage, get a car, and start heading south, Daytona might be a little bit optimistic.
I use rand McNally Tripmaker software on my pc and it shows Daytona as being 105 miles from the airport, which is on the north side of the city of Jacksonville. It shows the total distance from the airport to Port Canaveral as 183 miles, and that's very close to my own personal experience and sounds reasonable.
If you wanted to get away from the city that evening in order to clear most of the traffic the next morning, most of it is gone when you get to the Baymeadows exit, which is around exit number 101 on I-95 (below mile marker 350). There are several hotels there.
They're in the process of changing the exit signs to match the mile markers, but fo rthe next two years, they'll be marked both ways.
The World Golf Village with the Golf Hall of Fame is just a few miles south of there, at exit 95-A, about 40 miles south of the airport. Here's a link:
http://www.wgv.com/hof/hof.html to it.
They open at 10am Mon to Sat and at 12 noon on Sunday and they have some very nice hotels there, as shown on the accomodations link on thier website.
The St Augustine exit is exit 95 and there are two large outlet malls there, this would be about 50 miles south of the airport. The city of St Augustine is about 8 or 9 miles east of the Interstate.
The next major interchange would be the Palm Coast area and it's about 80 miles south of the airport.
Daytona is about 110 miles south of the Jax airport.
Once you're south of Jacksonville, the speed limit is 70 mph. I would not recommend taking the I-295 loop around the city at taht time, it shouldn't be that busy and the draw bridges over the river have been eliminated.
They are adding a third lane in both directions of I-95 from the south end of Jacksonville until past St Augustine, but it shouldn't be a problem for you that time of the evening.
hope that helps