Recommended Relay?

Heck - with that low of current consumption (which is the important part here), you could probably get by with a simple reed relay and a small transistor driver circuit (under 5 dollars in parts); if you shopped carefully and know the resistance of the relay coil (or the current draw), and it was a 5V relay, you might even be able to power it directly from the Arduino (still need the flyback diode, though!)...