If the zebrawood is a dense wood with good compression strength I'd keep it 1 3/8"(possibly a bit less) at the fades and either make a straight taper to 3/8" tips or go out about 6" to 8" from the fades before beginning the taper to the tips. You may want to initially make the tips 1/2" until the tillering is done and reduce them after you are sure the string will line up with the handle. I also leave the handle full width and thickness until the very end in case I need to adjust the stave for string tracking and it gives you a place to clamp the bow while working on it, without damaging the finished handle. Leave the tips thick also so you can reduce the width later and still keep the strength needed. This will reduce the physical weight without affecting the integrity of the tips.
I don't cut an arrow shelf in any wood bows. On some, I add a small leather shelf, more so for a locater than an arrow shelf. When you release an arrow, it shouldn't touch the shelf or the side of the bow anyway. The shelf makes it easier for some to be able to draw the bow and not have the arrow fall off. In most cases this occurs when the person drawing the bow curls the string fingers as they draw, forcing the arrow to the left(on right handed bows)instead of locking the fingers in a hook and drawing straight back.
When making self and backed bows I usually mark the center of the stave, go out 2 " each side of that mark for the actual handle and another 1 1/2" to 2" for the fades. This will give you a handle area of 7" to 8", including the fades.
If you use a bulbous (Torges style) handle with a small wedge of whatever(leather, wood, horn) for an arrow shelf/locater, you can reduce the width at the arrow pass to 1" or less, putting the arrow relatively near the center without effecting the strength of that highly stressed area of the bow...like a cut in shelf will do. Properly spined arrows will fly off of this kind of bow as well as any. Pat