How are you venting the island oven/stove?
On bath tubs, I seriously suggest that you test run a tub before buying one.
Just, at least, lay in it for a few minutes, and see if it has a base contour that is comfortable with head and back support. I put in a very large, oval claw foot, Iron, Victorian design, used with out the legs, that was lowered into a supporting base frame and bath deck for the downstairs bath. Its large enough, for two people, but it isn't comfortable for a long soak as the upward angle on the ends don't give any back support.
I put a newer designed, fiberglass, tub, up stairs, that has a slight ramp to it. And that tub is very comfortable for a long, hot water soak.
Our entire use of the house got changed when I got married. It got flipped. The up stairs area was to be the master bed room. This is now my wife's fabric cutting and costume design area; filled the cutting tables and sewing machines.
The first floor was originally designed as mostly a guest area with a guest room. Built and designed because, I thought we would have had more guests.
Before the marriage, I'd invited many people I knew on the East Coast to come check this area out, or at least explore it, as a free stay. No one took up on the offer in seven years. I designed it with an expectation that people would visit. That is why the house got flipped in its usage. When the requested invites did come in, it was 7 years too late. The spaces had been converted in other spaces.
The guest room down stairs is now our Master Bed Room. And as people got older and had Per diem, of what they could get at the local Four Star,.. my design, started to make no sense at all. I think this is a shame of modern life, cause I wanted to wake up with these people, and make the first coffee, and omelette, or mitigate the effects of the rum, the night before, that lasted till 2 AM, while talking by a fire.