Answer:
Mississippi River
Step-by-step explanation:
The best and the only all-water route would be to use the Mississippi River. This River flows all along the North and West border of Kentucky. The logging company could set sail on the Mississippi River and head South-West towards Memphis, Tennessee. Then from there, they would need to keep heading south down the river passing Mississippi towards Louisiana. Finally, they would end up in New Orleans which is where the river ultimately flows into the Gulf of Mexico.