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We study the quasi-isometric rigidity of a large family of finitely generated groups that split as graphs of groups with virtually free vertex groups and two-ended edge groups. Let  G  be a group that is one-ended, hyperbolic relative to virtually abelian subgroups, and has JSJ decomposition over two-ended subgroups containing only virtually free vertex groups that are not quadratically hanging. Our main result is that any group quasi-isometric to  G  is abstractly commensurable to  G . In particular, our result applies to certain “generic” HNN extensions of a free group over cyclic subgroups.

Quasi-isometric rigidity for graphs of virtually free groups with two-ended edge groups