Selecting an Initiative Card
Technically, all points are scored at the very end of the game, so you could use the Tracking Token cube that sits on the Class card during the game to indicate that you've claimed an Initiative card instead of physically moving the card. That would work fine.
I personally like the tactile experience of selecting and moving the card, but there's no reason why you couldn't just use the Tracking Token on the Class card to accomplish the same thing. Go for it.
Glad you like the game!
We used the cube to identify. Works great and the board stays.