LM Lefty,
For my money, the DP is the natural oiler in LM/L's line-up. It is a low RG and high differential RG ball. Pin under would do the trick but also consider pin left of your ring finger, closer to a leverage layout. The lefty on both of my league teams uses this layout for his DP with great success. He rolls a DP on medium-heavy to heavy conditions and a pin over Buzz Attack on medium-light to medium conditions. He is somewhat of a side-turner, getting out of the ball between 45 and 90 degrees (7:30 to 9:00 o'clock fingers).
In comparison, my BD is versatile, for anything between medium and heavy depending on surface preparation. The BD surface is more tunable than any particle solid in my experience. If I had a pin over BD (mine is closer to stacked leverage which flares perhaps too much), I'd use this BD for a strong backend medium condition ball leaving it at a polished surface. If you need it a little more agressive, try a white pad. If you still don't have enough surface, a gold pad is next. I can't imagine using a grey, green or burgundy pad on this ball unless you plan on polishing over the pad surface.
I agree with Who's Next in that the Xtreme Damage is suprisingly strong out of the box. I keep my BD at white pad or gold pad and polished my pin over XD to cover the medium to heavy conditions. I like the BD with white or gold pad for high rev/forward roll on heavy conditions and the DP for side turners/lower track players.
The DP tends to throw/scatter pins all over the deck while the BD tends to explode racks. (Higher coefficient of restitution?)
YMMV
Jim B.