Bookable via Google Flights or on Priceline
Not all dates have convenient returns, but if you are willing, these can be coupled with flights on Spirit at the same price.
CLE-LAX $60 Example Dates:
August: 19, 22, 23, 25, 26, 27, 28, 29, 30
September: 3, 6, 8, 12, 20, 21, 22, 26, 27
October: 24, 25
November: 7, 14, 15, 23
December: 5, 6, 7, 12, 13
January: 9, 10, 14, 17, 18, 24, 25, 30, 31
February: 7, 8, 13
LAX-CLE $60 Example Dates:
August: 28
September: 12, 19
October: 31
November: 24
January: 4, 31