I have the Remington BDL LH(left hand) in the 270 calibre. It is as fine a rifle as your going to find or I wouldn't been using it since 1979.
As ChesterGolf said: the difference between ADL &BDL is strickly cosmetic.
Well mostly cosmetic. The ADL doesn't have a detachable hinged floorplate. Cartridges are inserted thru the action opening on the ADL but can be inserted thru the floorplate on the BDL. Cartridges in the BDL drop out the bottom to unload but on the ADL come out the action. The BDL also has two action screws but the ADL has a third thru the front of the trigger guard that holds on the trigger guard. That screw tightened to much can change point of impact. Other than that the actions are the same.
The record books, that are put out by Boone & Crocket and Pope & Young and where I live is Henry Kelsey they are a great way to research a state or a province for big game. This does take some time but the knowledge it gives you, can be very valuable. Not all hunters have their trophies recorded, as where I live after the Hanson Buck became the new world record typical Whitetail, we saw a flood of hunters and now that has happened, some hunters are shying away from the record books but...