I'm not great with editing pictures I download but heres a stab at it.

Without better measurements this is the best option that I see. Both the long peninsula and the bumped in cabinets across from the fridge will have to be less deep than standard, I'm thinking about 16" deep.

More measurements of the interior walls would be more helpful.

An island with seating would be too tight, except for a seat on one end. A work-table type island would look good with the style of your house, and if it's mobile (in theory), you wouldn't need to have ti wired. I made the walkway behind it 42", but if you think you'd be comfortable with 36", you could add those inches to the table, for more storage and counter space.

Since you already have an opening in the short wall, you could recess a standard-depth fridge into the empty space, and use a side-loading cabinet to the left, with a pull-out to take up the space to the right.

I put the DW to the far right, with the sink centered on one side of the window. Dishes could be kept in drawers in the middle of the island, so that, with the narrow aisle, both DW door and drawer could be opened fully at the same time.

Hello @mama goose_gw zn6OH and @AFritzler - thank you for the thoughtful responses! That small space to the right of the kitchen has a door to the backyard, and we were thinking to use it as a pantry / additional storage as storage space is limited.