Hobby trirotors have a servo that tilts one rotor to the side to counter the torque imbalance. That said, tricopters are VERY hard to build.
I would definitely start by building a quadrotor and learning how to fly that. You will by necessity crash a few (or many) times learning to fly. You should also expect to spend somewhere between $300.00 and $600.00 and dozens or hundreds of hours building, learning to fly, fixing, etc. a good quadrotor.
I would get an Arduino like board built for copters like the Arducopter APM, or the MulitiWii. These come with the code you need and make the wiring a lot simpler while saving weight. The code gets quite complex and deep into control theory, so if you can avoid writing it yourself that is likely to your benefit.
As for the angle on the blades, it seems like a very bad idea. You are effectively killing some of your lifting force by making the blades all fight each other. Lift is what you are always trying to get more of. The angle means you need larger motors and a larger (more expensive) battery just to keep the craft in the air. The small adjustments needed to keep things level would also start moving the craft laterally which would throw your guidance software for a loop. I don't think it would give you any more speed, as when you tilt a quad it is as though you are tilting all the motors forward, and this gives you the forward speed. This is all not to say that it is not possible, but it would be very hard, and should probably be saved until you have a few flying craft under your belt.
