Though its quite different to AdvancedOverlap, Conal Elliott has a
method of answering the title of your post - "Choosing a type-class
instance based on the context".

See the CxMonoid (context monoid) in Section 3. Flexible Layout of the
paper Applicative Data-Driven Computation.

http://conal.net/papers/data-driven/paper.pdf

Best wishes

Stephen

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