Took a look through the rulebook, and the way they've set this up (Search is actually an Exploration skill), I think an Exploration challenge would be more appropriate. So!
If you want to take a quick look around, grab anything that looks interesting or relevant, you can just roll a single Search check. The Rings could do that, I figure covert ops type training probably includes 'find hidden stuff.'
If you want to go over the entire workshop with a fine-tooth comb, catalogue everything you collect, and haul it all back for analysis or what have you, that sounds like an Exploration Challenge might be more appropriate. In which case, I think the Rings shouldn't be able to help beyond assisting, or maybe a single search check, since.. well, they're sort of equipment, in terms of the game? They aren't full PCs, and they aren't aware of the fine details of the investigation and what you might be looking for.