If you're looking for a meeting place or a good stop around ½ or halfway between Orlando and North Port, you can try Brandon, FL, which is about 1 hour southwest of Orlando, or a little over 1 hour north of North Port.
About ¼ or a fourth of the way, you can stop at Holiday Manor, FL. This is about half an hour southwest of Orlando.
About ⅓ or a third of the way, you can stop at Lakeland, FL. This is almost an hour southwest of Orlando.
About ⅔ or two thirds of the way, you can stop at Palmetto, FL. This is about 1½ hours southwest of Orlando, or almost an hour northwest of North Port.
About ¾ or three fourths of the way, you can stop at Sarasota, FL. This is about 2 hours southwest of Orlando, or about half an hour northwest of North Port.
If you drive straight through without stopping at all, the total distance is 155 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 2 hours, 23 minutes.