The look is of course important, but maybe you should consider the functionality first, especially for a kitchen. As you say that you have a bad back, probably the wall oven would be a good choice - and it can look beautiful with the right design, if you have enough space. Please find attached an example (handle-free model Essenza by CucineLube kitchens)

1/ at the old place we had similar configuration to your drawing..the cooktop where that is and 2 slim windows on either side. 2/ wash up like drawing is preferred as can talk or watch TV. So sink inside 3/ wall oven and microwave on top at end below is photo of our old kitchen

I want to do the same to free up a ‘stretch’ of bench space, rather than having only small work areas in the corner and ends of our small L shape. I am talking stove top only as oven will be in a tower with microwave. That means the cupboard underneath can utilise the whole space, albeit with relatively small door (430mm). We would have to offset the range hood on the adjacent wall due to window position but have been advised the modern hoods are powerful enough to extract steam without necessarily being positioned absolutely over the hot plates.

I see you have a 2nd post on the same issue with lots of comments, ATo. Do you need actually two ovens? We only have two because it was to replace an old oven/microwave stack and a double oven was all that could fit. We don't use the bottom oven since having young children in the house. A lock solves one issue, but doesn't deal with the risk of burns. Your kitchen space is bigger than mine, so don't think it is small, but the door to outside limits layout options. I had been playing around whether could change my U shape kitchen to have direct access to the outside eating area, but have found that it compromises what I can fit in. Perhaps have a rethink about the entire layout and what storage you need rather than go ahead with plans which don't really work.