Wondering what do you plan to achieve by doing that? A free anonymous donation?
Personally, I never look at what's written on bills. Especially $1s. My primary use for them is stripper tips. And I doubt they accept QR codes.
True, there is a lot of writing on $1 bills. But I have never seen a QR code on one. What am I trying to achieve? I guess turning more people onto bitcoin. And I was bored and it sounded like a good idea.