Whichever way you expose the flight plate to the wind is how it will stay. RHBH with Left to Right wind: If you throw a hyzer, the wind hits the top of the flight plate and pushes the disc down, keeping the hyzer. If you throw an anhyzer, the wind hits the bottom of the flight plate and pushes the disc up, keeping the anhyzer.
From a course management standpoint, you'd probably rather have the disc get knocked down on the ground a little short of where you were aiming than have the wind catch it and carry it off to who-knows-where.
I'd probably throw a slightly overstable disc with a flat release.