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Quaternary mixed-metal chalcohalides (MMCHs) are a promising mixed-anion semiconductor family, but their thermodynamic accessibility remains largely unex- plored. We combine density functional theory with the Alexandria Materials Database to carry out a rapid and reliable evaluation of the thermodynamic accessibility of 54 M(II)2M(III)Ch2X3 compounds. All evaluated MMCHs are predicted to be thermody- namically unstable, but a considerable fraction of MMCHs lie within computational uncertainty of the convex hull. Their predicted decomposition follows five distinct reaction pathways, most commonly into M(III)2Ch3, M(II)X2, and M(II)Ch. Solu- tion processing of six Sn-based MMCHs supports our analysis. Notably, this includes the first synthesis of the previously unreported Sn2InS2Br3 in a multiphase film. Our approach identifies convex hull proximity and competing phase formation as key con- straints on MMCH synthetic accessibility during solution processing, thereby guiding future MMCH exploration.