As @minipie said, a floorplan would help massively, if poss, OP 😉
I'm another fan of double butler sinks and range cookers as the more traditional look suits our 400 year old property, so I can see where you're coming from. I'm just not sure you can fit both - and, most importantly, have enough room for prep - in the space you've shown as available. If this really is all the kitchen you can fit in, I agree with a previous poster who suggested a long, narrow island/work table for additional prep space.
We also didn't want lots of wall cabinets - although having previously done the whole open shelves with jars thing at our last-but-one house and found they got incredibly greasy - we wanted a compromise. Instead we went for one double wall cabinet, a plate rack over the sink and a tall display shelving unit. This way, glassware is enclosed so avoids a greasy film, we have the open shelf to display a few pretty items as well as the useful plate rack for draining above the sink, whilst jars are kept in the larder on an opposite wall.
Whilst we have a larger kitchen overall (7.3 x 3.6m, widening to 5.1m), because a huge chimney breast takes up one wall, our cabinets - as well as the 90cm range and double butler sink - are mainly along the length of the 7.3m wall (with island facing) and without the benefit of the island, we would struggle to have enough unbroken worktop space for extensive prep. Due to the positions of range and sink, we have the following runs of worktop - 1.6m, 1.8m (although this has the shelf unit sitting on it centrally) and 1m. By the time you add small appliances (we have kettle, toaster, coffee machine - our microwave is in the larder), I really don't think you'll have enough useable space for prepping large family meals, ie, Christmas, whereas with a single sink or even just rejigging the layout this would undeniably be improved. A long, narrow - and possibly mobile - island would help. We have a 60cm square butcher's block in addition to our island and, tbh, the prep space it adds is almost not worth having 🙄
I'm not at all keen on the arrangement of FF and small grouping of wall cabinets in your design - it looks scrappy and ill thought out, imho and would be improved by putting the FF at the opposite end with the open shelves where you have the wall cupboards currently.
On the subject of swapping the dishwasher etc around, anything is possible if you throw enough money at the problem - we moved the whole of our kitchen into what was previously two reception rooms that we knocked through because the space works so much better for us 😉