Ref T10349. Instead of showing columns in "Backlog, Custom, Sprint 1, Sprint 2, Sprint 3" order, show the sprints in reverse order: 3, 2, 1.
This makes it easier to get to the new stuff, and you don't have to drag over older stuff or archive it immediately.
Trello's own meta-board for Trello development is a good example of this in the wild: older stuff goes out to the right, so you can get to the newer stuff easily: