From the pits with the Boyons, run left towards the door, and charge a shinespark. Then run to the right, jumping over the pits. The blue suit from the speed booster will prevent them from knocking you down. Then you can shinespark up the shaft, so you can grab the Climb Supers.

The infohud counter at the top left shows the duration of the shinespark, you can see that the window for the spark is relatively tight.