Ipe and hickory makes a great combo. I prefer hickory to boo because it is easier to do and I've had splinters lift with boo but very few failures from hickory.
PVA glue will work fine with this set up but like all glues, instructions must be followed.
I don't care for cut in shelves. They leave a weak point where they are cut in. You can use a Floppy Rest like I did above or add a shelf at the arrow pass. A small wedge of wood, leather, antler or bone will work for the shelf.