Turkey breast on the grill?

I'm new to the whole gas grilling thing and still figuring out what does or doesn't work. So this weekend's question is - what's the best way to cook a whole turkey breast on the grill? I'm pretty sure someone is going to say "brine it," so before going in that direction I want to add that part of my goal is to have turkey for sandwiches and salads during the week that isn't full of sodium like the supermarket kind. But maybe someone's going to tell me that brining doesn't drastically increase the sodium content of the meat - that's just my assumption. Maybe some other type of marinade? I'm open to all suggestions.