Thanks everyone for the responses!
Oh, it would absolutely be a non-issue in normal times. I live on the border and actually have a PO box in Maine, but my NEXUS lapsed earlier this year and they are taking their sweet time renewing it.
I have a friend in the States, and we occasionally send packages to each other, so I'll buy a set and have them sent to her for next time she sends a package. But per your guys' recommendation, I'll try it with just the cloth bag too.