Where can I find other types of Wood and Ores?

Basic Materials only require Pine Logs and Lime Stones. If you want better materials for crafting for your home base, you will have to go to locations that have higher danger levels. You can check the details of maps that have 3 skulls or more. You will also need a Metal Axe or Metal Pickaxe to gather these.

For better wood, you can check the following:

Charred Forest

The Last Shelter

For better ores, you can check the following:

Valley of Stones

Tip: Since these places are far, consider getting a better Back Pack, as well as a Vehicle to make transport easier.