If the strap from your local bank comes from the Fed Reserve, you may have a chance. But banks routinely strap up the bills in the tellers drawers. So there would be almost no chance there.
If I were you, I would go to the bank and explain you'd like a strap of new money from the Fed Reserve. The brandy-new money is called "brick" money. If they have it, they should be happy to unload it. New money is hard to count by both machines and humans.
They may not have any. But at least you won't get the carp bills from their drawers.