After many days of scouring the island upon Archimedes and many more fruitless conversations with the witless, savage sods that seem to make up most of this island's population, I have finally found the spelunkers I need! A tribe to the northwest called the Iron Brotherhood has apparently found three artifacts themselves, and it's clear that said relics share an origin with my own.
In exchange for my artifact, the Brotherhood agreed to report any findings to me straight away as they continue their search. What stupendously good fortune! Now I can return to my alchemical studies with renewed vigor, while they crawl through the island's caverns in my stead. Brilliant.