If you are open for a gut and need help with layout, I would hire a Kitchen Designer to help. It will be worth the price in the long run.

I agree with Barbara that a drop in range/cooktop in the peninsula would greatly improve the other end of the kitchen, where range is now; it could then be a bank of cabinets, starting with a lazy susan. Make sure the peninsula is wide enough that the burners aren't too close to little fingers sitting on the other side. Widen it if necessary.

Taking out the soffits would allow you to use 42 inch uppers, which give you TONS more cabinet space. And don't forget to pay attention to lighting; ideally recessed cans over counter edges and LED undercabinet lights! Good luck.

Can you post a floor plan with measurements?

The Gardenweb section of Houzz has a Kitchen Forum that is frequented by a number of kitchen designers and other professionals who are very helpful if you can give them exact measurements of your space.

I don't care for a cooktop on a peninsula, for safety's sake--if you have seating the overhang needs to be deeper--plus, the hood will cut off the sight lines. A wall behind a cooktop and hood will help contain the steam and grease plume, and wall hoods are generally less expensive than comparable island hoods.

This is just a guess at the measurements, from estimating the widths
of the appliances. The door and window stay in the same locations, but
if you wanted to move the door toward the center of the wall, the 24"
cabinet could be reduced to 18". There are no uppers except for the
cabinet to the right of the sink, and the cabinets over the fridge and
MW, but there is a full-height pantry cabinet, and you could have a 27"
upper between the range hood and door.

I was imagining a chimney
style hood, vented out the side wall, with a diagonal wall behind the
range. A shallow shelf for s&p shakers could be incorporated in to
the space.

The MW is on a shelf, with a cubby for cutting boards
filling the remaining space. Dishes and flatware can be kept in the
drawers under the MW, with pots, pans, and baking dishes in the large
drawers between the sink and range. You can prep with a view out the
window, or toward the dining area, and a helper can unload the
DW while you are prepping and cooking. A helper can also gather dishes
and flatware to set the table, without entering the prepping and
cooking spaces, and the fridge is convenient to the dining area or
someone looking for a snack.

There is a base cabinet in the blind corner, opening toward the dining area, for extra storage, and trash could be located in a pull-out under the sink.

Corner range hoods

The
disadvantage to having a corner appliance is lost storage
space, upper and lower, and filler needed to make sure that all drawers
open past appliance handles. My Paint program doesn't allow me to draw boxes on the diagonal, so the range is a little wonky. Good luck!

I can't tell you how many times a client has come to me with an impossible kitchen. Yours is certainly a challenge but once I redesigned a 10' x 12' kitchen with five doors and a window. These projects take lots of thought and lots of imagination and knowledge. I would absolutely find a good kitchen design professional. Often they represent a variety of cabinet lines in which case the considerable assistance would be included in the cost of cabinetry. Try searching Houzz.com for designers in your area or contact cabinet companies tagged in your favorite photos and ask for dealers in your area.

It looks like there's another outside door beyond the peninsula. Can that door be eliminated and the kitchen pushed further out?

A good kitchen designer can help you with recommendations, giving a fresh view of the options, and a design that will work and make the most of the space. Good luck with your project.