Task/project management program that works well with JAWS

Hello Everyone. Does anyone know of a good program for task/project management for Windows that works well with JAWS? I really need something more at work than I've been able to do with the task list in Outlook. In particular, I would like to be able to create tasks with subtasks. I'm working in a state goverment job, so our computers are very locked down, and it is a major process to get anything extra installed on them. I want to be sure that whatever program I ask for is going to meet my needs and be accessible. Ideally, I would love for the program to have an app for the iPhone as well, since that's what my work phone is. I briefly looked at Microsoft To-do on the iPhone, but it seemed like it had some accessibility issues, so I wasn't sure about it or how it did on Windows. If anyone has a program that they use and like, I would be very grateful to hear about it. Thanks in advance!