For the trap beat groove, you'll have to bring more double strokes into your playing.
To nail a double stroke, you need to have two hits per hand, which allows you to play a lot faster with significantly less effort. On top of your hi-hate patterns, changing up the subdivisions can add a little extra flair to your drum groove.
It's important to remember that everything is built off of the 16th note pulse, then you add the double strokes which give you 32nd notes.