Rosen's jazz orchestra and a host of Broadway guests will perform at 54 Below.
Alex Timbers and Michael Friedman's musical premiered last summer at Shakespeare in the Park.
The Tony nominee will take on the role of Mafala Hatimbi.
The event will be held February 3.
The one-night-only Indigo Theatre Project event benefited Safe Horizon.
Broadway veteran Leslie Kritzer will also take part in the Indigo Theatre Project's one-night-only staging of the dark comedy.