Instead of zips ties maybe look for some smaller u-bolts to secure that to your rack. You could even get some wing nuts to make it easy to install and remove.
Are you sure you didn't take that pic in front of my garage? LOL Same color peeling paint and random plant growing. Heck even the Little Caesars ad seems pretty typical of something that would be in front of my garage. =)
I have a big basket I am thinking of strapping it down to a rack of a bike with some leftover straps and buckles from and old backpack. I think it will work really great and that might be something for you to consider also.