Let's get a couple of things out of the way first. If the thought of encountering a gecko on the way to the pool fills you with terror, this is not the place for you. If you are horrified at the thought of flocks of tropical birds flying overhead, this is not the place for you. If the smell of tropical flowers is going to upset your appreciation of breakfast, this is not the place for you. If you recoil in horror at the thought of having to walk a couple hundred feet to some of the best restaurants in Cairns, this is not the place for you. If all those sound like a benefit instead of a hindrance, you need to check this place out.
Lilybank B&B ( http://www.lilybank.com.au ) is in a beautifully restored historic Queenslander, about a 5 minute drive from the airport. (And that is if the cabby takes his time.) Being that close, I can't say I recall ever being disturbed the the sound of planes taking off or landing ... but it did make it very convenient.
Your choice of continental or cooked breakfast comes with your accommodation price, and the food is very good. When I was there the menu included lamb and salmon as well as the more traditional bacon and eggs. Because it's small, it's quiet, if you don't count the occasional vocal bird flying by. The size also means you get to meet fellow guests and share your experiences.
Your hosts (Pat and Mike) are very helpful, and will be glad to help you select from among the things to do in and around Cairns. They'll make bookings for you, help you find what you want to eat, and generally do everything they can to make your stay enjoyable. They'll even suggest some things you might not hear about any other way, like Cape York Air's "Play Postie for a Day" trip. I almost felt like I was visiting with old friends rather than staying in a guest accommodation. Internet access available for a truly nominal charge. I would certainly make this my base for any future trips to Cairns.