If you've got the time (& heart) to take them off, I personally would take them all off, as I feel you'll make more for them individually. I don't think you're going to find a buyer who would want them all, & a defunct bag, as any serious buyer would no doubt have a collection of their own patches, and would only be adding the odd few to make their sets complete.
You may find the odd person who wants them all with the bag, but not sure if they would pay the full value of what the patches are worth, and it may take some time for that person to come along. Depends how quickly you want to turn it round.
Hope this helps & good luck with your sales
Regards
Ali x