@Derrick_Hale If you haven’t yet, you might want to add this suggestion to the Product Feedback section for voting on, and/or vote for a similar existing request there.
In the meantime, I’d also be remiss to not point out that our Desksana app for Asana has this capability built-in: it does not sync archived projects and thus does not show archived tasks on your Desksana My Tasks list.