Gaming laptops are also heavy, run hot, and only get a couple hours of battery life on a charge. They're more like portable desktops than mobile devices.

Honestly, the best possible solution is to build a gaming rig. That being said, you can look into Alienware, Razer, or the like. I have an Alienware and I have not had a problem out of it, and it runs pretty much anything I need it to. It's not even the best rig out there, but it was still a grand for it.