Hi Ted,
I'm not nearly as experienced as many of the folk on here, but I used a bamboo floorboard like that to make my first bow. I ripped it down to 1.5inches wide and spliced 2 together to make a 70inch long board. I then shaped and tillered my bow and used the left over bamboo as my handle. It came out @ 38#@28. I shot that for about 6 months before I used it to experiment. I then added a natural bamboo backing and 3inches of reflex. The original bow took about 2inches set. Adding the natural bamboo made a seriously great bow, but I couldn't resist experimenting more and now the bow is in bow heaven.
If I had the resources you have, I would rip down a piece of hickory to 1 3/8 wide, 1/8 thick and about 66 long and use as a piece of backing. Then rip down the bamboo floor board to 3/8 thick, 1 3/8 wide and about 66 long and glue it up with some reflex, but no deflex, as bamboo takes set. I would then use the red oak as riser (handle) material.
Also listen to what the guys have to say here, world of knowledge.
Look up Semo-Hunter's Bamboo backed Osage bow in this section, and google Sam Harper's website poorfolkbows.com Loads of info on there.
If you have more of bamboo floorboards available, then experiment with a few styles of bow until you find one you like.
Good luck, and post some of your bows1
Pete