This model does have a drip tray. It has notches at the back of the cooking surface (middle of unit) and the grease drips into a removable plastic tray. If you are cooking a bunch of bacon keep an eye on it as it may fill up and run over the edge.
If the griddle is hot enough, the eggs will solidify and you can control their trajectory with a silicone spatula to keep them from falling into the grease catcher. More importantly, the on/off switch is poorly designed and I would not recommend the product.