Salt Lake City to New Orleans -- well, the best thing you can do is to get yourself some maps or an atlas, and look at the many many routes that you could take to get from SLC to NO. There is no one "best" route, except the one YOU want to drive. For the record, though, by the *shortest* route, SLC to NO is 1800 miles which is at least a 3 day drive, one way. If this is to be a loop trip (you must return to SLC), you have 6 days driving of your 10 available, at least.

Reading your initial post, and the replies to it, I'm inclined to agree with a "Utah trip". There are FIVE National Parks in Utah, plus any number of national monuments, state parks, and other features to see/do.

Donna