Chosen Solution
I have seen the replacement part on iFixit but it is out of stock and I need it urgently. Is there any logic board that is available, with or without the paired home button or anyone selling iPhone 5S for parts?
The only place I can think of is Ebay.
Since you say you couldn’t find just a motherboard, here is a phone with a broken screen that you might be able you salvage the motherboard out of https://www.ebay.com/itm/Apple-iPhone-5S…
You can find a lot of logic bords on Ali website, with and without finger ID.
