Any way that the address details of the SIM-recipient can be sort of removably stuck on to the pamphlet at all?
If you have a one-off sim, then you're intended to cut along the fold and give the recipient what is left.
If you have a three-off sim, then you're intended to cut along the fold and the other dotted lines and give just the sim with the small panel.
In all cases, your address isn't part of the package you're intended to give out. The instructions are behind the sim carrier when it is peeled off. But if you have a reasonable printer, you'll find some members have created leaflets that you can print and give out along with the sim.