PS I do not use lighting for my grill. Once you are as good as I am, you can just use the force to know when they are done!!!
Perhaps one day I too will learn to harness the power of the force. Then again, if I had the power I guess I would have no need for additional lighting (then it would be necessary only for my mere mortal guests).
Rope lighting on the bimini sounds like an interesting option. However, at least for now, a bimini is on my winter wish list.