Yeah, I've been thinking about that Karen. Where they come in is between the shutter and the door. There's a 1-2" gap they can fly right under. What I need is to construct some sort of a soffit, attached to the door, but that still allows me to open the door (which opens outward), and that doesn't interfere with the shutter, which will have to pass right over it.

I'm thinking of something maybe involving window screening.

Part of the problem is this is all curved. The other part of the problem is that lots of the obvious places to attach something either move or have hardware in the way. (Or both.)

I'd just go cut something out of wood, but I don't actually own any woodworking tools. (Unless you count a pocket knife / multi-tool & a caulk gun.)

I'll take some pictures tomorrow.

In the meanwhile, maybe Styrofoam or duct tape is the answer...