Rats, I wasn't online to offset Tex's advice!
There's no harm in letting the screws from the hanger bolt go down as far as they need to. You just drill the hole deeper, which is easier than sawing the bolt off. But we'll still give Tex some points, since his idea met with the desired success.
I'd say go with the copper cap just for the added value. Mine are stuffed w/ foil too, and have slots to ride over the stirring arms. If I had it to do over again, it would have one slot and a hole to thread the arm through to help it stay on when dumping beans.