Will need to see layout to give opinion. Doesn't look like a free standing tub is a good option for you but if you show us the layout we can give you an accurate advice.

A very simple layout keeping the floor space within the kitchen, the WIP takes up a lot of space with not much gain, The broom cupboard could be moved to the Laundry/entrance, narrow. If the wall has been bumped out to the eaves on the deck side giving an extra 300 depth to the kitchen you could make the island 2700 x 1200 and all drawers. The wall of narrow pantry will hold all pantry needs and more, no deep cupboards to dig into. cheers

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The Rosetta Bath is a favorite outdoor soak tub. This is often selected by Boutique Hotels. Two people can fit into it and soak.