About ¼ or a fourth of the way, you can stop at Holley, FL. This is about half an hour west of Destin.
About ⅓ or a third of the way, you can stop at Tiger Point, FL. This is about half an hour west of Destin.
About ⅔ or two thirds of the way, you can stop at Muscogee, FL. This is a little over 1 hour west of Destin, or almost an hour east of Mobile.
About ¾ or three fourths of the way, you can stop at Rosinton, AL. This is about 1½ hours west of Destin, or about half an hour east of Mobile.
If you drive straight through without stopping at all, the total distance is 108 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 1 hour, 59 minutes.