I am a fan of honeycomb panels. I used 3/4" carbon core honeycomb on mine. It was about $75 a sheet, but that was over a year ago. All of the honeycomb panels are about the same (nidacore, im sure there are others.) Find a local fiberglass products place and buy from them, or get a fiberglass/marine shop to order it from their supplier. I buy from Advanced Plastics.
Where you have the legs of a tower coming down, you either need a stringer/bulkhead under the leg, or you will need a piece of aluminum plate glassed in on the underside. You would basically sandwich the honeycomb material between the aluminum plate below deck and the plate on the leg of the tower. Just know exactly where the plate is on your deck layout. You could tap the aluminum plate below deck to accept a bolt. Just make sure the plate is thick enough to give you plenty of threads, probably 1/4" minimum or double up 3/16".
There are other ways to do it, hopefully someone else will give you more ideas.