If they're modern type ship anchors, they are worth a lot of money. Given the size you mentioned, these anchors could be up to several tons and worth several thousand dollars apiece.
However, recovery is not so easy unless you have a barge and crane available ( my preferred recovery method), and even then, you still don't have a definite position.
If you can't get your hands on a mag, you're probably SOL, as with no vis, and no definite position, a towed diver search is out of the question. A mag or towed metal detector are definitely your best bets here.
Any that we've found have been by chance, then you can mark the position and go back later with a small barge. The biggest one we've found is about 10 feet high, a plow type oil rig anchor with about 500' of 2" chain attached. It was lost when the rig broke loose in our harbour and was never recovered. We haven't gotten that one yet, but it's in the works.
Usually, in a strong current, a hollow will form around them, so your anchors may be sitting visible above the bottom unless the bottom is terribly soupy. It's just possible (though unlikely), that you may locate them with an echo sounder because of this. It still requires a great amount of luck in actually being able to pass directly above them, but you'd see (or at least feel) them when you went down.
See you on the bottom,
Al.