Hi @Skyler, I wanted to follow up on this thread with an update! We’ve just launched Keyboard Navigation in Board view, bringing more keyboard-friendly movement between tasks. You can review the full announcement here: 
Board view, meet keyboard navigation!
Regarding the ability to move tasks up and down using the keyboard, this is not yet covered in the current release. It is coming in a future iteration, though we do not have an ETA for that update just yet. We will keep you posted as soon as those future improvements are live or we have more concrete dates.
Since part of this request isn’t solved yet, I’m keeping this topic open and marked as “Considered”. However, if that’s okay with you, we can edit the title to something like “a11y: Reorder tasks via keyboard in Board view” to clearly focus the request on what is still missing.
Let me know what you think. Thank you for your patience and for sharing this feedback with us!