I'd go Barrett since it is righthanded. Custom that is close to what you want:
Gunsmith - $450
Total - $2,000
It would come in around 6 pounds depending on barrel length. Way way easier to just buy a Barrett.
2 things
1 Must be getting really screwed by my gunsmith***
2 I bought a fieldcraft in 6.5 creed with 22" barrel. It shoots INCREDIBLY well if I do my part!