The fastest way to push the block is to hold cardinal right out of the stairs, then transition to diagonal down-right while the block is moving. Link can move down to vertical coordinate 114B at lowest without being hit by the spike, and must clear the spike entirely (horizontal coordinate 1860) in order to move past it.

The recommended way to path to the chest is simply to walk. Using the hookshot can potentially save a single frame, but has more room for error, and dashing is slower.

On the way out, using the hookshot can potentially save a few frames (assuming the firesnake is not in the way) and is relatively easy to execute.