I need to save a bunch of illustrations for web use, and I cannot find any 'crop to art dimensions' option when saving them. I've therefore been creating a new artboard for each illustration by clicking on the art with the artboard tool, then deleting the old artboard.

This works OK except the new artboard ignores the stroke, so I then have to go back and tweak all the edges of the artboard before saving, or else the stroke edges get cut off. This gets old after hundreds of illustrations. Is there an easier way to do it?