Shipping for different products

Currently, I have 2 products – Stickers, Magnetic Bookmarks. For stickers, I can send them via First-Class mail for $1.95. For Magnetic Bookmarks, I need to send them on a sliding scale based on weight, starting at $4.95. I have figured out how to do each individually, but not together. Meaning, if they just buy a sticker, the rate is accurate, or if they just buy Magnetic Bookmarks the rate is accurate. But, if they buy one of each, it combines the rates together instead of just realizing it should be the larger price. What am I doing wrong?

Currently, I have it setup where there are two Shipping Classes: Stickers, Magnetic Bookmarks. I’m using the Shipping Classes overriding to take care of the prices, so it makes sense that it’s adding both of them as that is how I have it set up. But, I don’t see any other way to address these accordingly.