Our strategy for Ham ‘em High level 12-10 is to loft the Boomerang bird over the level, spinning back into the TNT on the extreme right. Land the Black bird in the gap to the right of the trio of stones. If any pigs remain, bombard them with Big Brother. The score in the video below is 84,680.
Note: RC posted a 2nd method in the comments below. It includes a link to a video he created. It definitely look easier and can yield over 90,000 points. Thanks, RC.