Another option is to use a plant hanger
Fasten it to the side frame of your window. This puts the chime far enough from the wall it doesn't hit the house, but is close enough to the window to be very hearable.
In passing: Chime sounds vary hugely on placement. We have a large stainless steel one that was on the patio. It took a fairly strong wind for it to sound. I moved it about 5 feet horizontally and 4 feet up, using a higher tree branch. It sounds about 3 times as much now.
You can adjust to some extend by changing the length of the string, and by adding area to the the wind catcher to make it sound more, adding mass to make it sound less. You can also adjust the tone by your choice of striker. A metal striker induces more high frequency sounds. Wooden or hard rubber strikers tend to induce the lower primary tone, with fewer harmonics.