Dallas here to help out and I'd love to help you with this!
Just to confirm you want the layout to be exactly as it is now, but just with a plain white background is that correct?
If that's the case then I suggest you upload a plain white image like this.
(you can't see it because it's white, but there is an image there that you can upload to your store if you want)
Going this route will allow the overlay button to still show up and the background won't have any of the icons. Can you try that with the image that I shared below (or one like it) and let me know how it works for you?
If you're actually wanting a different feature there instead of the slideshow you could go into the Theme Editor (Store Admin > Online Store > Themes > Customize) and then you could delete this slideshow
and add another feature from the list of options.
Please let me know if you have more questions or if you'd like more assistance with this.
The image that I attached was a large white image, but you would want to resize it to fit how with the spacing that you want. In the instance right now, my assumption is that you don't like how it looks because there is too much space between the header and the "Shop Now" button. If you make the image smaller it will fit more like the theme that you're interested in.
I took a look at that website and it does appear, however, that they're using a different theme than yours. In that case, your website will never look like that one. Are you able to give me a list of features that you like from that website and then I can take a look to see if I can find a time that you would like?