Thank you both. I have indeed seen that type of approach that you two suggested. But neither approach really helps me visualize a timeline. The difference with the chart I created above is that projects are sorted out by weeks and split up into chunks to allow for time for bug fixes, meetings, other things that come up that you don't factor into your project schedule.
The difficulty I see of using Trello or Kanban is that it only shows you what people are working on, not how long each segment will take or what else is on their plate at the same time. I guess I'm almost looking for a Gannt Chart. I just haven't seen one configured the way I want it to be.