Words that rhyme with "escape" include:

• Ape
• Cape
• Chape
• Crape
• Crepe
• Drape
• Gape
• Grape
• Pape
• Rape
• Scape
• Scrape
• Shape
• Tape

There are also some near rhymes for "escape" that could be used in songwriting, such as "made," "wait," "late," and "babe".