I like the idea of having some HP delegation included in the starter pack. As for a solution, I would go for a way more drastic change with a game mode where players pay an entry cost while getting access to all the cards as max level which are provided by card owners who get part of the entry fees. (Idea Explained)

There is just no point for anyone to start buying packs at the moment with the league caps removed. unless they are willing to throw 5k+ at it, it's a matter of time before they are stuck playing against higher level cards. The near guaranteed devaluation of cards needs to be solved.