I have a few crepe myrtles in the yard of my new home. As a new resident of the south I am not familiar with the growth but one of the trees branches are all drooping from the top creating a smothering effect. I have pruned some away to lighten the weight but doesn't seem to have made enough difference.
Certified GKH Gardening Expert
These links will help refresh you on the care and pruning of Crepe Myrtles.