Go straight on, follow the story path. Between Challenge 1 and two there is a path going up with a red pedestal. You'll need the LIFT! ability for this. Get it after finishing the Sherbet Desert Story.
The statue to put here is past the Challenge 2 battlefield, up the way. Behind the first rock pile you see. Put it on the pedestal and use the cannon.
Continue with the story path. Next area hast a snowy patch with a block and a green button. Push it and move the block. Push the green button again and push the block towards the reappeared green block. Then you can push the block onto the blue moon platform. The door opens and you can reach the chest.
Continue down the path that the big marble opened. Pass the Challenge 3 + 4 Battle Areas to the big stretch that leads to the Lazy River area. In the middle of this long stretched path, there is a turn to the left. The next chest awaits...
Take the pipe that is close to the previous chest and push the button. This removes the wall on the other side of the river and you can pick up the statue. Take the pipe nearby that leads up and put the statue on the pedestral.
Go all the way back to the big ice door, where you put in Rabbid Mario Ice cube. Pass the two battle areas. - Ignore the Red Pedestral on the way for now - At the bottom right of the second battle ground, there is a chest and a statue.
While you're here, push down the block so you can pass to a different area of the desert. Since you're here, pick up the statue. There is a Red Pedestral at the far right. Put it on to get to the chest.