Translate your Haskell types to PureScript types. It should in theory work for almost all Haskell types, including type constructors! You just have to instantiate it with dummy parameters from e.g. "Language.PureScript.Bridge.TypeParameters".
Data type translation is fully and easily customizable by providing your own BridgePart instances!
For compatible JSON representations you should be using aeson's generic encoding/decoding with default options
and encodeJson and decodeJson from "Data.Argonaut.Generic.Aeson" in purescript-argonaut-generic-codecs.
Usage of this library is documented in Language.Purescript.Bridge, with writePSTypes you should have everything to get started. Documentation can be found here.
It works for my use case and is used in production. PRs for more PSTypes definitions and bridges are very welcome!