Here is a different concept, based on the vinyl fencing options where gates are going to be in the fence: at the gate posts they have metal inserts that are the same full length of the plastic post, go inside the plastic, and provide the real strength for the gate.
Use a steel post as a skeleton for a hollow wood cover post. The wood would only be the length of the visible railing. The steel post would go as deep as required into the concrete, and be almost as tall as the wood railing post.
Embed the steel post in the concrete instead, and treat it for anti-rust protection. Then set the hollow wood post over the steel post and fasten it towards the top, to not weaken the bottom of the steel post.
No football players will bend the underlying steel, and the wood cover completes the deck's look.
(picture gleaned from web-search "wood post over steel post": https://www.doityourself.com/forum/fences-posts-railings-gates/520417-wood-sleeves-over-metal-posts.html)
