I found it works really well for us if I just feed the dogs outside. Not sure how well it'll work for you if your guys are food possessive, however I find that they're so involved in crunching on their own meals, that they don't even notice each other out there. Plus, by eating in the backyard, they're able to give each other all they space they want anyway.
Then on rainy days, they eat in their crates of course.
It's really quite funny to watch them eat though, because neither of them want to touch the food with their paws. They get so super excited about eating it, but they have to get pretty creative sometimes to rip it apart by only using their mouth