I have no idea draw a to scale floor plan with all windows, doors included also plumbing lines .Graph paper makes the drawing a bit easier make sure to mark all items including walls

With fridge placement and door and required clearances? You have no room for an island.

Draw the ENTIRE space, add every dimension. ....

The above is our current plan. We welcome and comments/concerns.

3 feet is not enough for an aisle in front of fridge and the island is too small as it is. Make it a peninsula.

No. Show the ENTIRE condition and adjacent spaces A kitchen doesn't live in isolation. It's not a vacuum,

Label the near and adjacent areas , add dimensions. This kitchen exists in a context. Show the rest of the living floor

You need a 42 inch clearance at fridge. Even with a two door cabinet depth model

i would rotate the refrigerator to face the oven, and instead of an island that you can go around do an opposite counter from your cooking space. In a sense making it the kitchen. Remove the framed opening unless you have a door there by the refrigerator and move the dishwasher to whichever r side of the sink is easiest for you. Personally I prefer it to the right of the sink? I think, but if you think of the kitchen space as how you will cook in it and then the space around for living and eating you may come up with some ideas based upon how you live. You may want the refrigerator at the end of the other side with the range? It depends on how the other rooms are set up. I prefer my kitchen to be set up for me and maybe one other to cook, and then a space adjacent and opposite for dining and a counter, also open plan with tv room is across from kitchen so I can be doing dishes or cooking and not miss the game or guests. Kitchen designers are all over houzz, use their websites for ideas that you like or get a consultation. You do not need a big space between both sides of the kitchen but adding the extra pass thru and turning the refrigerator is what is hurting this plan, if the hookup is there just turn it to face the range. Leave space to get in and out, personally after having all types of refrigerators and kitchens I love the smaller fridge, side by side, European style small and efficient kitchen design. Try sketching it again. but imagine yourself walking around, even draw yourself to scale even if its your head...

we really like architectural kitchens and baths. Look at their work and any ideas you can find that you like. The hardest part will be finding someone to do the work.

To close the loop on this, we have decided to move our fridge to our "butlers pantry" to give us enough clearance around the island. Thank you for the help, everyone. It will look something like this:

Sorry that solution will wear thin in no time a fride should be near where you prep your food and not every kitchens needs or should have an island.