Due Dates on your Calendar
The nice thing about the setup I have is that if I have a due date on a next action or project (which is not often), I can also have that next action or project appear in my calendar. If I am running tight ... i.e. not sure I will have enough time to complete that project or next action BEFORE the due date, I can easily spot this when reviewing the next 2 to 3 weeks of my calendar during my weekly review. When I see those cases I quickly block off time in my calendar to get to those due items.
This shows up differently in my calendar from ticklers (reminders of things to be done that day).
So if possible, you may want to look at your system and see if you can see due dates close to your calendar so you can plan for them better.