What must I do to live a dignified life with my husband and raise a dignified family, given his constant travels and his family's endorsement of that, and my feeling of distress at considering the matter a trial?

Everything in the universe is by Allah's decree, and procreation has causes, including the wife residing with her husband and seeking medical treatment. It is the wife's right that her husband should not be absent from her for more than six months without her permission. You did well in concealing the disagreements from your family. You should discuss matters with your husband calmly and thoughtfully for the benefit of the family. The best approach is for you both to be together, either in your home country or his country of travel. If he needs to travel alone to sort out his affairs, you should understand that. The important thing is harmony between you, and there is no harm in mediation if the situation calls for it.