I don't have any information to send you directly, but if you go to the BridgeSite to the "Bridge Links" - "Fun and Learning" area, you will want to check out the links there. The best spaghetti bridges are truss bridges, so you will want to check out the link to the Truss Bridge Laboratory and the Bridge Basics link. The Newton's Apple site is also helpful. Spaghetti makes a wonderful truss element.
The best way to design your bridge is to first look at the different types of bridges built by engineers today. Bridge engineers try to solve exactly the same problem that you are with your project: Design an attractive structure which optimizes weight and cost. I suggest that you browse around the web and look at the different types of truss bridges that have been built around the world. After you have found some bridges you like, then you can pattern your model after them. Good glue is a necessity for strong popsicle structures. I suggest a fast-drying epoxy type glue for maximum strength and workability. Wood glues are also good, but take a long time to set. If you decide to use epoxy, be very careful with it. You don't want to glue yourself or your dog to the furniture. SuperGlues are expensive, do not have good long-term strength and will not give you the best results on porous, wooden sticks.
You might also try downloading the "West Point Bridge Designer" program at http://www.dean.usma.edu/cme/civilsoft.htm This is a great program for learning about truss bridges and will no doubt impress your teacher.
Good Luck! Richard P Picickings, P.E.