Because internal rotation of the knee is implicated in developing Iliotibial Band Syndrome, strengthening the external rotators of the hip can help to maintain control of the hip preventing internal rotation of the knee the yanking of the ITB.
For ideas on how to strengthen the hip abductors and the glutes, take a look at my sports medicine blog at https://harmonychiro.com/blog/ as there are several different posts to give you information.
In people that have a narrow stance or step-width that does not crossover, widening the distance between your feet by a little over 3 inches may be able to reduce tissue loads to allow things to heal properly. Widening the step width has the tendency to reduce both hip adduction and knee internal rotation.
Gait retraining after strengthening to be sure you have adequate step-width may be extremely effective in treating Iliotibial Band Syndrome. You can try to widen your stance by running over road markings (watch out for traffic or try it in a parking lot) and trying to not let your feet touch the line.