That golf ball doesn't really lend itself to easy vectorization... I'd venture that you're going to have to either learn Illustrator well enough to do it yourself (and end up with a product that won't be as good as the original anyway) or just pay the $31. That price is crazy cheap and 99% of those out there would rather spend the money than invest the time it would take to clean it up and/or vector it. Personally, if it takes even just 2 hours it's not worth my time to save $31.
I'm not a big fan of jacked up shipping prices either, but $11 isn't bad if the sideart is packaged properly and shipped by UPS, FedEx or USPS Priority.