Tallon Overworld
The next half-pipe is in Tallon Overworld so head there. The hint system will probably be pointing to it already.
Tallon Canyon
Go to Tallon Canyon and locate the half-pipe near the door to Transport Tunnel A. Do a half-pipe jump to reach the ledge on one side. The ledge is higher than the other ones you've encountered so far, so this will be a real test of your half-pipe skills.
Cross the bridge to a sandstone wall, bomb it open and follow the tunnel, bombing more walls as you come to them. Drop off a ledge to find a door at the end of the passage.
Gully
There are some Zoomers patrolling this passage. Drop down the ledges to the next door.
Landing Site
If you're having Déjà vu now it's because this is the second time you've had to take a roundabout route to get to an inaccessible part of a room where you've already been. Is this going to be the last time the game pulls this trick?
Hop along the ledges to another door on the left.
Alcove
Drop down the ledge and find the Space Jump Boots inside a golden beam of light. (This isn't Mario so looking into the light doesn't magically transport you anywhere.)
The boots allow you to do a double jump; jump and jump again in mid-air to get additional height or distance. This makes getting around in the areas you've explored so far much easier. On the other hand getting around in future areas will often require this move so your platforming skills will still be in demand.
You will, of course, have to use the double jump to escape from this room. Do so and since you're so close to the ship you might as well save there.