Are you tie strapping your danforth anchors too? If not, you may want to.
Most guys I run with carry a lot of line and set the hook(s) pretty far up current, further then you think you need. If you have a good anchor and some chain that allows it to lay flat that should do it.
Marking the wreck and knowing where the marker is in relation to the layout of the wreck is vital. A single anchor and a bridle and you can often cover much of it.
Some have a wreck anchor that theyI drag it into the peice and see how tight they can get up on it. If it is a big piece, this usually works.
Some guys do both, they anchor way up of it, once set, then slide across it and hook into it with the wreck anchor. This way, they can pull or let out across it.
Obviously the double anchor gives you the most movement.
Since it sounds like you have both drifted back on the wreck, and hooked into them, you are probably doing everything pretty well. Try. To find a wreck fishing boat who has not lost an anchor (without diving down)
Maybe go a little further when dropping the hook and letting out a lot of line.