I'd go Barrett since it is righthanded. Custom that is close to what you want:

Rem 700 stainless action - $425
Mcmillan compact edge - $600
Hart #2 barrel, or pacnor mtn contour - $350
Timney trigger - $175
Gunsmith - $450
Total - $2,000

It would come in around 6 pounds depending on barrel length. Way way easier to just buy a Barrett.