Give Quinn more AP ratios
Alright, I understand this sounds kind of stupid, but hear me out.
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Quinn now has a level to balance between her burst and sustained damage. Is her burst too high at the moment? Lower her AP ratios, reducing the damage on her abilities but keeping her sustained damage. Vice-versa also works, buff her AP ratios and decrease her AD ratios, incentivizing hybrid over flat AD.
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Allows easier balancing between Quinn and Valor. Valor relies much more on his ability to burst people down, while Quinn can just kite someone to death.
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AP Quinn sounds like it'd be hilarious to play, although it probably shouldn't be viable outside of messing around.
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Giving Quinn better scaling and the ability to buy expensive items (Trinity Force) will allow her to survive better in bot lane.
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Going off the last point, it's now easier to balance Quinn for different roles. Too oppressive to melees in top lane, but having trouble in bot? Reduce her early AD to keep her from bullying melees out of lane in top, but increase her AP scaling to allow her to trade just as well. Now she can't bully you 24/7, she has to actively fight you (which means either skillshots or blowing her escape)
Just in case you missed it, The point is not to get Quinn building Deathcap, it's to provide easier balancing using her natural AP stat and hybrid items such as Trinity Force.
I'm not mentioning any specifics because I don't really want to get into the details yet. On a simply theoretical level, would you support this idea?