Different Shipping rates for different products

[OnderdelenYCD]

I have recently added some products that need a specific shipping method than all my other products. I thought I could easily fix this by making another shipping profile with the correct rates. The reality is when people order products which combine both the shipping profiles, it doesn't pick the most expensive option, it adds up both shipping rates of both profiles causing people to pay more. 

I know that there are paid apps which may solve this problem but I wonder if someone knows a free option/solution.