My #1 pick, in which I expect she would be sensational, would be the Gershwins' "My Cousin In Milwaukee" (from Pardon My English, 1932) (has some opportunity for acting, including a wiggle or two).
Others: Gershwin: "How Long Has This Been Going On?" (from Rosalie, 1929 - good contrast between a cutesy intro and bluesy main theme)
Coward: "If Love Were All" from Bitter Sweet (1929) and "Later Than Spring (from Sail Away, 1961)
Rodgers and Hart: "Where's That Rainbow", "It Never Entered My Mind", "I Think I'm Back In Love Again"
Rodgers and Hammerstein: "Everybody's Got a Home But Me" from Pipe Dream (1956?)
Porter: "From This Moment On" from Out of This World (1950) or "I Hate Men" form Kiss Me Kate (1948?)
Moross-LaTouche: "Goona-Goona" from The Golden Apple (1954)