Now, does it have the kill chain to supply it with an accurate targeting fix and update it during the flight? Or, does it have a radar good enough to find the Lincoln on its own? If it doesn't, then it's a really big ocean. But sure, they've got the range.
Of course the CSG and its advanced weaponry are going to obliterate them before they have a chance to do anything.
The Shahed-136 could 100% find the ship if Iran had the intel on the CSG location.