OK, this comes with a total disclaimer, it might work, it might make it worse, but I would wrap carefully in a light pillow caseand wash it in a washing machine with towels or other such things to pad it.
In my experience, the type of fabric they use in this bag doesn't hold onto dye that well so washing it might get the dye out of the fabric. It could also make the dye spread further. But I would try that step before I dyed it. If you are going to dye it, it would probably help to have the bag really clean anyway so that the dye takes evenly.
Again, totally a guess. I think that's what I would do with that bag at this point though.
Thanks. I might end of doing that. As I looked at it today it dawned on me that if the Shout got that dye moving in the first place, maybe it was the answer here as well. I just finished a tedious spray, dab with white terrycloth rag, rinse rag, dab, etc. The rag eventually stopped picking up dye. I've hung it up to dry. I think it's going to look much better. I'll probably have to do it again. Funny how stuff comes to you when you put it away for awhile and come back to it.
And as a commentary, from what I've seen, the US Military ought to have Coach making the fighting people's clothes! It sure seems "bullet proof" to me!