You've gotten some very good suggestions above- you really should heed them.
Customs are great for those that have the coin, and the experience to know exactly what they want in a rifle.
You should know, as others again have stated, that they shoot incrementally better-if done by a quality builder- than some factory rifles.
Off-the-rack Savages like the LRP will shoot 3/4 minute- which means it will likely shoot better than you for some time. If you have the itch to D.I.Y., building a Savage (to me, it's more "assembling") is fun, easy, and you get a level of customization similar to a custom, without the cost.
I'm in the camp with the others to get (or build) a good factory rifle- Savage or Rem 700- and top it off with quality glass that you can move to a custom down the line. MtnCreek gave you a good start with some builder references that can do the job well.