If I were you, I'd go down to your local Nascar feeder round dirt track and watch the stock cars race around, then go into the pit area and see how the cars look after the race. This is how your bike is going to eventually look IF YOU'RE REALLY GOING TO RACE! The point is that if you really want to race, buy a rock um', sock um' racing frame that will take some abuse and get you through the season or that at least has a good warranty to cover you through a couple of seasons of racing.
If you want a "racing" bike to ride on parade at the local club ride, then buy something that has words like "lightest frame in existence" in the ads, or "manufactured out of the newest latest Scamdium tubing-so light we had to tie it down to take these photos".
Most manufacturers make a durable aluminum racing frame, usually weighing ~3.5lbs(1.6kgs), frame only, that would be ideal for a solid racing frame. These are usually made out of 7005 aluminum or 7020 aluminum. Dedacciai 7005 aluminum is a solid tubeset for a solid alu racer. Check out web sites for ALAN, Coppi, Basso, DeRosa.
Steel racing frames by Bianchi, Coppi, Basso, Tommasini, Colnago, Rex, and Lemond are also good solid racers, albeit slightly heavier, with the advantage that you may be able to straighten a steel frame after a crash(important to the racer on a budget).
Ti has a reputation for being more durable in crashes, the least likely material to bend/go out of alignment, etc... so the premium you pay for an all ti frame may be worth it, but you can still find an all ti frame for ~$1000.00. See Colorado Cyclist Douglas Ti frames or Tommaso Ti bikes for $1500 or Airborne Ti frames for ~$1000.00.
Please let us know what turns out to be the best frame material for you.