The Canadian Olympic song that had the lines:
I believe together we'll fly
I believe in the power of you and I

"You and me" would be grammatically correct, but wouldn't rhyme. Still I clenched my teeth every time I heard these lines.

Similarly, the old folk song "Didn't He Ramble" has opening lines that are sung differently by different people. Many folks sing the grammatically incorrect AND non-rhyming:
"Mother raised three grown sons, Buster Bill and I,
Buster was the black sheep of our little family."
In order to make it rhyme, some pronounce "family" as "famil-eye"

An easier solution taken by several singers is to correct the grammar, also correcting the rhyme:
"Mother raised three grown sons, Buster Bill and me,
Buster was the black sheep of our little family."