IMO, for the gun itself, it's six of one, a half dozen of the other. I've not messed much with the LCR, but I do have a Bodyguard 38.
I think if the laser is part of the equation, though, then the LCR with Crimson Trace is going to be better. The BG's laser activation button is in a very awkward spot and is not easy to turn on. Half the time my thumb is not on the button, but on the elevation screw. The CT grips on the LCR are far more intuitive.