We take 441 every time we go to FL and back. I like it because its not the crazy interstate. BUT, if time is essential to you stick with 75. Pick up 411 north of Marietta GA to miss Chattanooga. Its good road all the way up to Maryville TN where you will pick up 321.
If you stay on 441 you will go through Newfound Gap. Its steep and twisty but if you are experienced in mountain driving its do-able. OR you have the option, the one I use, is pick up US23 (441 runs into 23) all the way to 74, then east to I-40, pick up 321 out of Newport TN. You have options.