If you're accelerating while taking off from the jump, it'll bring the nose up a lot more, making you have to correct it further while in the air. Try letting off the throttle just as you hit the jump face, and then stab the brakes in the air like you mention already doing.

If that isn't enough, consider if you can put stiffer suspension in back or softer in the front, and still get reasonable traction in non-jump sections. Also consider venting the front of your body, specifically in front of the windshield and the top/back of the front wheel area.

Note: This is assuming that your front suspension isn't already too soft or too low. If it is, you'll bottom out the front on the face of the jump and that will kick the front end up even higher. If that is the case, add more ride height, more dampening, and/or a stiffer spring in the front, depending on what will hurt less on the rest of the track.