I, too, think you might haven bitten off more than you can chew. You are considering a rather complicated bow, even for a moderately advanced bowyer, let alone a novice. I don't know your level of wood working skills, but I would highly advice you to start off simple. No glue, no bending with clamps, no wood drying. Once you know how to handle the tools and how to tiller a bow, you can work your way up.
Nonetheless I'll try to answer some of you questions - and more.
- The maple, oak and hickory you bought...what does it look like? How many knots? What's the grain like? The advantage is that this wood will most likely be dry and thus ready to work with. In contrast to your bamboo, which is still green. You can start building a board bow without laminations tomorrow, and shoot it within two days.
- Hickory is very strong in tension, and often does not need a backing. In fact, a bamboo backing can overpower the belly and the gluing process often adds more hassle to the construction, which adds another complexity to the process.
- A bamboo pole of 2½" diameter is rather narrow. It can make a narrow backing strip, but you indeed will not get a slat of 1½" wide. However, the backing can be narrower than the (hickory) belly. Still, I personally think that such a narrow pole of bamboo will be difficult to work with.
- The 'bow design' picture is a bit too technical for my liking. Making a wooden bow doesn't work with pre-determined numbers. Of course you need some figure so you know where to start, but avoid a mathematical approach.
- You made a tiller tree; good! many novice bowyers start building bows without one. A good tiller tree makes tillering sooo much easier. Do you also intend to build a form for the glue-up? Your bow design plan looks to be designed for a form? You said you bought clamps, but how many? You need a lot of clamps for a bow, OR you could use elastic rubber bands such as bike inner tubes to wrap a bow. If you decide to laminate a bow, you need to figure out how to shape the lams, how to glue them together, how to press them together and how to hold them into shape while the glue sets. A dry-run is indispensable here.
- What drawweight and drawlength are you aiming for?
Don't over complicate things. Keep it simple stupid, and let the shavings fly to keep you motivated!