Planning a trip in Oct from Little Rock to Melbourne Beach, FL. I need a little help with how far I can realistically expect to travel in the time available. I need to arrive in Melbourne Beach for a meeting at 12:00PM on Thursday. The earliest I can leave Little Rock is 7:00PM on Tuesday.

Our intent is to hit the road Tuesday, drive till maybe midnight; back on the road 8AM or so and drive through the day Wednesday with short stretch your leg stops every two/three hours and get far enough before we stop for the night to reach Melbourne Beach by noon Thursday.

Interstate, speedier routes are probably what we'll chose this trip. We usually seek out scenic routes but this trip is more about the destination - although we wouldn't hesitate to take a rest stop for something interesting along the way! I've tried to map it out but am getting frustrated because I don't really feel confident about how many miles it is realistic to expect to travel each segment and I'm just not familiar with much of this part of the country. I know five hours in the car and these old bones have to spend some time walking around - even if it's only walking around a convenience store!
I'm probably making it more complicated than it needs to be and would welcome any advice or suggestions on routes and/or how to plan out the trip!