If it doesn't stay, it might be an idea or get hold of some extra flying rods (local Eldar or Tau W40K players might be the first port of call here) and use them as supports or even just cover the original rod in putty to add some bulk and mass for the palanquin to sit on.
Green stuff would suffice, but if possible grab some milliput, it's great for jobs like this and usually comes quite cheap from a local hardware shop. There's usually quite a lot of it, and it dries completely rock solid as opposed to green stuff which retains some limited spring.