It does sound like it may be more related to nerve, spinal issues than simple stress incontinence but that can still be managed. There are electrical nerve stimulators that can help some individuals, various medications etc. but as you are doing, getting proper assessment is the 1st step.
I used to get dreadful urge incontinence and had frequent accidents, mine is ms related and i was put on oxybutinin and that has really helped but i still wear pull up pads as i still occasionally get caught short (usually when somone who is not disabled has taken their hoard of kids into the disabled access toilets in malls etc so that you have to wait until the entire clan has finished their business- that really annoys me as the very same malls provode parenting rooms for just that purpose, it just means a short extra walk for them)