www.aplhealthcare.com.au/bags/ pack the kite at the top and say its a new space blanket. just dont be surprised if they call on you to deliver a baby or help with a windsurfer having a stroke.
i use one of these for my boards
www.alibaba.com/product-detail/Funeral-mortuary-Medical-body-bag_1747151763.html just chuck your towels and use straps to make it look body like. when they nervously ask if theres a corpse in there just laugh and say of course not. great for your climbing ropes aswell
no excess baggage fees so far