Most Informative Base Pairs (MIBPs)

Information theory characterization and visualization of RNA secondary structure using Boltzmann ensemble finds a small number of most informative base pairs (MIBPs) and their conflicting base pairs (if any) controls three levels of structure.

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https://www.researchgate.net/publication/323558893_Characterization_and_visualization_of_RNA_secondary_structure_Boltzmann_ensemble_via_information_theory/fulltext/5aa1d9ecaca272d448b4bcbb/Characterization-and-visualization-of-RNA-secondary-structure-Boltzmann-ensemble-via-information-theory.pdf

LinearPartition shold do the probablilities part in near linear time.
They have a web server (beta).
https://www.semanticscholar.org/paper/LinearPartition%3A-Linear-Time-Approximation-of-RNA-Zhang-Zhang/ae03651ebf96b3fc29262dbddadecef86447115d

Combined should be a fast way to get Most Informative Base Pairs (MIBPs) and their Conflicting Base Pairs so one can concentrate efforts on mutations that really matter.