How can I get my enduro suede couch clean again?

my enduro suede couch is covered in stains from top to bottom from my little guy leaving his finger and handprints everywhere. I've gone at it a few times with the cleaner I got with it but you have to dab at the spots and it just leaves more ring stains and rough spots wherever it meets with some gooey substance that wont come up. I looked into a Spot Bot but from the reviews the wand doesn't work that great. Any Ideas?