I am sorry to inform you that there is no "typical" when it comes to supervised visitation. Apparently your judgment leaves the details up to you as the sole custodial parent, so you are probably the best one to balance the need for the child to establish or develop some type of healthy relationship with the other parent against the importance of keeping the child safe during the visits. You may want to consider choosing a safe place, in state, with a supervisor you trust. Your husband might not be considered the most unbiased witness if problems arise and have to be addressed in court later.
I agree with the other answer. Contact the Louisiana Department of Family Services and see if they know of a visitation center that is set up to handle such supervised visitations. Some larger cities have such a center. A normal visitation would be on a Saturday at some public location. A neutral person might be a trained social worker or someone else such as a clergy person. Usually visitation could be at a recreational facility like a zoo or movie theater.
Every situation is different and you should consult your own attorney to go over all the particular facts in your case. The answer given is only intended to provide general guidance regarding rights and responsibilities.