There are already quite a few ways to get more stable space: Building up to the 4th/5th level of the Stable nets you 200/250 space, then if you buy the Expand Stable Scroll, that's another 10 space.
There are also a number of ways to earn the scroll such as: placing in the Exhibitions (that haven't been running), buying from other players
Lastly, your idea is kind of already in the game: by placing in the Weekly Charts, you earn 10 gold for each you place in, allowing you to buy the scroll if you place in 2.
My Pet Sales page --
Currently have 3 extra Blueprint: Military Academy level 3
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