Around it? No.
You have several options though:
1) Use the Minelab Pro Coil (but actually any DD coil will increase finds in trash).
2) Dig the everything and see what the trash is masking.
3) Go slow and cherry pick the coins from the trash.
4) Buy a smaller coil (but I don't believe you'll find much more than you would with a Pro coil)
5) Grid. Hunt the area at 45 degree and 90 degree angles to your original approach. This will reveal otherwise masked targets.
If hunting in trash was easy, everyone would be doing it and detectors would sell like hotcakes.
As far as the grassy strips, check your local laws. Usually these are easements owned by the city, but that must be maintained by the homeowners. Many homeowners see this as "their" property, so, as always better to ask first then to be confronted by an angry homeowner or have the cops roll up on you. It's not so much that what you are doing may be right or wrong, it's how we as detectorists are perceived. I know if I saw you detecting in front of my house, I'd have a few choice words for you!