When I wrote this article, I was using Asana and continue to do so today. But that was because it was already in use, and it wouldn’t have been good to add a new tool to the mix. Nothing special about Asana otherwise (it has way more functionality/complexity than one needs for Shape Up).
If I were starting from scratch and could pick any tool, Basecamp was built specifically for Shape Up … but I’ve seen people use many other project management tools with Shape Up: Miro, Asana, ClickUp, etc. If your marketing team is already using a project management tool that they like, I’d start with that.
Best of luck!