You need chickens...
When I used untreated wood as a foundation for a pen with the wire stapled to that... The yardbirds dug trenches along the beams... catching termites!
I think I'd be considering some kind of "french drain" or something next to the house.
As far as building a raised bed in that small space? Not sure that I wouldn't dig the material out so that moisture drained into the middle... Of course, then I'd plant mint or louisiana iris or something.
Looks like the drive drains to the street, it seems like it would be easy to just grade that area the same as the drive...
What are you expecting to grow? Looks like a tiny space to me.