Ed,
The problem you are facing is the same we all face when trying to make the shortest bow for our draw lengths. The difference as mentioned is that as bow length goes up, the ideal draw weight for best performance also goes up.
I would personally recommend ipe backed with bamboo or hickory.
If you wanna keep it simple as possible, bendy handle 1.25" wide, 76".
If you wanna keep it shorter, you will need reflex and deflex. I build a DR longbow at lengths of 60-68" and I've tested one 66" 65# of that design to 31". I'm sure that at 45# it would handle a lot more. Probably 34" or more. I suspect a DR hickory or bamboo backed ipe can be made for your draw at 70-72" length.
For arrows I would consider 1/2" poplar dowels which come in 48" length. If they are too stiff you could consider 3/8".