How to deal with flare up when broiling a steak?
Broiling a steak is a great way to cook it.  There are a few things you can do to avoid your issue.


No need to oil your steak.  It should have great flavor as is.
To avoid problems with grease under your steak, put it on a wire rack over a 13x9 inch pan (or similar) with 2 inch high walls.  Put 1/2 cup of kosher salt in the pan.  This soaks up grease drips.  America's Test Kitchen's recipe gave me this idea.
Pull the rack out when flipping steak, flipping it away from the element to avoid grease hitting the element.  It might take a bit longer to cook this way, but you'll still get a good crust.