Any brake with a solid bottom will greatly limit ground debris from being blown up in your face. That said, this is dependant on the specific ground debris and of course the intensity of the rifle you are shooting.
By that I mean, if you shoot on well vegetated ground, you will have very little debris with any chambering with a solid bottom brake. If you shoot in fine sand, dirt, water or loose snow, there will be some debris flying around with magnum class chamberings but it will be very tolerable compared to no brake or a radial port brake such as any with holes 360 degrees around the brake circumference.
I use Defensive Edge brakes mainly, Holland QD brakes and for large diameter muzzles I will make my own custom brake design. All have solid bottom designs.
Obviosuly the wider the solid portion on the bottom, the more protection the ground will have from the blast. The ones I have listed are the best. Shawns and my Custom Slab brakes are the best I have every used, very similiar in design but really best for large diameter barrels. The DE and Holland are the best I have used for conventional barrels and still have an attractive look as opposed to the JP brake.
Allen Precision Shooting
Home of the Allen Magnum, Allen Xpress and Allen Tactical Wildcats and the Painkiller Muzzle brakes.
I have got a Holland QD on my Sendero, have had no problems with dust and crap. One day I will put a #5 Lilja barell on it and will probably try a Defensive edge brake if they can be shipped to New Zealand