They're there to help keep the string where it's supposed to be, at the center of the limb. They don't have to be very deep to accomplish their goal. Use your Howatt for reference on depth.
Their length should extend to the point where the string no longer lays on the limb when the bow is braced. In other words, anywhere the string is touching the limb, it should be in a groove.
You can start them before stringing for the first time, just extending them an inch or two beyond the V at the tip, then extend them to their proper length once the bow is braced at its proper height and the limbs are properly aligned. That way you know exactly where to stop, and exactly where it should be side to side.