John,
That is good way of doing it.
I stopped using bubble mailers. I wrap the strike in bubble sheet, staple the ends, wrap a packing slip around it, staple the packing slip to the bubble wrapped strike on both ends, then staple through the bubble wrap and packing slip with both names on it to the inside of the clasp envelope, close the envelope, and tape it shut. Any time you can stop the strike from moving inside the package, you make a safer mailing.
I have not lost one yet. I bet a few have hit the floor, wall or overhead while the buyer is trying to rip it open.