They are both beautiful but I'd go with the Edie but mostly because that's my typical style of bag. I have 3 Phoebes and 1 Edie. I love the details on that particular Edie with the chain straps and turnlock. I also love plums and purples. If I didn't already have the black violet Phoebe I'd be getting that plum Edie.
However, the Swag is beautiful too. Love the quilted look in the black.
They are both so different that if you like the style of each, I'd keep both!