As Butch mentioned just naming a particular barrel contour/taper has ambiguity. You should probably decide how big a barrel, then find a barrel that matches it.
A Bartlein #3 will be too heavy. A Bart #2B would probably work.
A Hart or Shilen #3 will probably be good. Rock Creek #3 would work.
A Lilja #2 would be good also. A Pac Nor #2 would be fine. A Pac Nor #1 might be good.
Otherwise, if I were you I would get an Edge fill McMillan. Keep the barrel shank to 1 inch in front of the receiver. Crown at 24 inches. ADL or BDL, both are fine. Use a Timney, Shilen, or Rem trigger, they will all get to 2.5 lbs with a good pull.
If I were you I would get a Lilja #2 barrel, your choice of receiver, McMillan Remington Classic Edge or Echols Shrike Edge, 1 inch red pad, grey paint, your choice of scope rings/mounts, and either a Leupold 6x36 LRD or a 3.5-10x40. With a 700 I think you'll be around 7.5 lbs scoped.
