I've seen some really nice fully built bikes that'll cost less than you are looking to spend, maybe even Cervelo. Conventional wisdom is that it will cost more to build up a bike than to buy one, even if you get parts on ebay. But if that's what you want to do, go for it.

As for a connection to the bikes you've built, it didn't happen for me. Maybe that's because I built it up from parts off the bike I crashed. Even though I have a higher end frame now, I really like the one that I cracked.