Finding Zinc on a dead moon - without a spaceship
Three ideas come to my mind:
If you found a location with a landing pad that is not occupied by your precious Ouchimano, you could wait there for other traders to arrive and check their inventory. Occasionally space ships will land and if you're lucky one will have your Zinc.
If your Ouchimano has any additional tech installed (I never found a ship without tech installed) you can dismantle it (R3 on PS4) to get back some of the resources that were required to craft it. When inspecting the tech it should show you which resources you will get.
If you could manage to find your old ship - or any other crashed ship - you could dismantle the tech from there. Of course, this sounds hard without a ship to search with, in the first place. You should start by looking for a beacon. They are easy to spot since they emit that red light beam which can be seen from long distance. Use the beacon to search for transmissions. The results vary and you will find different transmissions. Repeat the search until you find a Transmission Tower. At the Transmission Tower use the interface inside and solve the puzzle. It will show you a close by crash site. There even is a chance it will show you the crash site you have already been to. Your old ship should still be sitting there.
I just had a closer look on my latest found crash site. 4 installed components here gave 25 Zinc each:
- Photonix Core
- Pulse Jet Sigma
- Cannon Damage Tau
- Cannon Damage Theta
For a Reflect Enhancement Theta I even got 150 Zinc.
So there should be a high chance you get the required Zinc right from the Ouchimano itself.
Good luck!
I literally had the exact same issue (apart from the ship name :P). Find a signal scanner and search for a beacon (select the transmission option). From the wiki:
A Beacon will always detect an alien lifeform at an Outpost.
And this is exactly what you want! Alien lifeforms are always at an outpost where you can trade. That is where you find your precious zinc.
Signal scanners are probably the most common building you can find on any planet or moon. Within 5 minutes of running, jumping and climbing you should have found at least one. You can also change the render distance to make sure you see them from a longer distance.
It takes time to do this, but after I had this issue I felt as if the role play in the game came to life. It was one of the best moments I ever had playing the game.
Good luck. Let me know how it goes!
Edit:
By the way. Once you're at the location the beacon directs you to there is always a landing station for a ship. You can call your ship using the computer at the edge of the platform.
Just use your exosuit's scanner and look for the yellow Oxide icon. Even a "dead" planet or moon still has a lot of rocks, and a smattering of those flowers that look the same on every planet, but have different names. The yellow flower has Zinc (there's also a blue one with Platinum, a red one with Thamium9, and ones that refill your health, shield, or hazard protection). Most of the rocky things in caverns give an oxide, too, but that's usually Iron.