I have a different answer, since a dumb switch is layer2 only, it should pass EVERYTHING right?
I have a more pressing question, what kind of router(s) are you planing of using?
Am assuming you are NOT attaching those pubic IP directly to your servers, without a firewall (NAT) in between? So once NATed, in your LAN, all 3 servers will have private IP don't they, and perhaps on the same subnet? or are you purposely keeping them on separate subnets?