Hey again. Thanks for reaching out again - this is actually helpful to me, also! In the maintenance room, there's not only a drill, but on the open shelf next to the cupboard (a terrible looking tool bet) which is used as an inventory system and you can drop items onto - including the card.
The card flat on the floor, I see, is an issue! It should be able to be picked-up, but I guess I need to make that easier to grab.
As for bending down, the game supports roomscale, so you should be able to crouch - even lay down. But you'd have to do that physically.
I hope this helps. :)