You have 4 options:
Find more dungeons and look for cores.
Find surfling spawn point in swamp (not recomended that early in game).
Take a boat way south of map till you end in firelands. (extremly risky)
Make a new map and start of fresh seed, if you cant find any dungeons on starting island. (you can move materials from old map to new one easy)

Also, you can just recycle your stations and build them as other one. But its gona slow you down. Still a better option that burned food.