Labadee - Amiga or Malfini excursion possible for ALL DAY?

Greetings!

Our day in port of Labadee is on my anniversary. We have been to Labadee and we are not impressed with the beaches available in walking distance to the ship. There are too many people and I'm not a fan of the ship being my view from the beach, or hearing screaming zip liners above my head. That's pretty much all that's available in Labadee (unless someone can correct me).. We want a quiet more secluded beach and therefore was looking at the Amiga Island or Private Cove excursion (

. My concern is that they are only 2-3 hours long and I want to spend every moment in port basking in the sun on the beach. Will they let you stay there if you pay double the price? We also typically do not do excursions through the cruise line, generally booking privately. Does anyone know if there are any other options for us? Or, should we simply stay on the ship and get massages that day?

Thanks in advance!

Excursions on Labadee are ONLY thru the ship....it's their private beach day. There are no options except thru the ship.