I've been told by Liftmaster reps that the limiting factor in how large of a door the 3800/8500 can lift is the length of the cable tension monitor. On a door with very large cable drums, the cable tension monitor may not be long enough when the cable spools back and forth on the drum.
18x12 is quite large. There's still a lot of inertia, even if the door is well balanced. There's 12ft of rubber weatherstrip on each side for the machine to fight, in each direction. The manual says a maximum of 180 square feet, and your door is 216sq/ft. I would recommend a Liftmaster MH5011, medium duty commercial unit. They are a bit more expensive, but easier to install.