This is the barrel I have:
Shilen Match Grade Barrel Mauser Series 3 22-250 Remington #4 Contour
With a Remington 700, once you have decided on caliber, twist, chambering, and barrel material (Chrome moly or stainless steel), you have tons of options. Many barrel makers offer pre-fit barrels for the 700. A lot of gunsmiths, however, prefer contoured blanks so that they have maximum control over the precision of the barrel fit. A contoured blank is generally a bit less expensive than a pre-fit barrel.
It would also be wise to discuss barrel choice with your smith once you have decided who you want to do the work on your rifle. For instance, the smith that re-barreled my 22-250 told me that a Shilen barrel is about the lowest quality barrel that he is willing to work with. He is a big proponent of Krieger and Lilja barrels. He is an exacting guy who guarantees his work. Because of that, he is pretty particular about the quality of parts he will accept for work.
In addition to barrel cost, I paid $300 to have the barrel fit to my action. Some smiths may charge more or less than that.