It would be very hard to finish below the Wizards or the Nets: they are just legitimately that bad. If the Pacers decide to tank and shut down, say , Mathurin, there is also not much can be done to finish lower than them. And the Pelicans and Clippers will , most likely, rise above the Jazz since they have no incentives to tank.
The only three teams that can seriously compete with the Jazz in the Tanking Olympics are the Hornets, Mavs and Kings. And there are 9 days, January 8-January 17, when the Jazz play the Mavs three times and the Hornets once. If the Jazz have some unfortunate injuries during this period they can push both the Mavs and the Hornets above them for good.
Another interesting stretch is February 11-February 28, when the Jazz will play Sacramento, Portland, Memphis and New Orleans (twice), but this one is 17 days long with a week-long break in between.