Why would you want links to particular posts in categories on your homepage when using silo structure? This will ruin your silo as you would interconnect your siloed structure instead of isolating to specific content groups.
Try to outline your silo structure like this:
Category Page 1
- Related Post 1
- Related Post 2
Category Page 2
Consider Silo/Category Pages as (separated from each other) containers for different related keyword/content groups.
You want to rank your Category Pages strongly for wider spectrum of keywords as their strong relevance will flow upwards to the homepage.
Therefore you optimise Category Pages for higher traffic/difficulty keywords and link them with homepage with high importance links from navigation menu.
Then you follow linking category posts to category pages as in tiers (again broader keyword selection, LSI & long tail keywords) this will shape your pagerank flow up towards homepage through content relevance (where you rank against tough competition with 1-3 high traffic/volume/value keywords)
Build your link structure downwards in siloed tiers & at the same time shape your content relevance spectrum for each siloed tier. It's very similar to tiered link building just happens within one domain.
- from homepage navigation to category pages
- from category pages to category related posts
- between category pages
If you link like you've described from homepage straight to bottom (category posts) you will dilute your relevance flow with too broad keyword spectrum linking to your home page.
Therefore you're more likely to get less relevance points from google then sites with strongly focused anchor flow in their internal links structure.