I really hate to mention this, because it will stay with you forever, but you can also sing any of Emily Dickinson's poems to this tune.

Heart we will forget him,
You and I tonight

or
I heard a fly buzz -when I died,
The stillness in the room
Was like the stillness in the air
Between the heaves of storm
etc.
(Of course, you can also do House of the Rising Sun and any of Dickinson's poetry to the tune of "Yellow Rose of Texas," too, but why mention that?

WW