My name is Alex, I'm a guru here at Shopify!
Currently, Shopify supports setting shipping rates by weight and price only, not on a per-product basis. That being the case, you've a couple options available to you:
Hope that's helped! Please feel free to give us a call or start a live chat at any time - we're open 24/7 for your convenience and always happy to assist!
Alex | Shopify Guru