700 Mountain would have the closest contour. I've rebarreled several Remington Sevens with 22" 700 MR barrels to improve the balance, as I prefer neutral balanced rifles to the butt-heavy 20" barreled Sevens.
For added "cool factor", a 700 LVSF barrel would be the way to go, if you could find one.
I have a used 24" 700 BDL stainless 7mm-08 take-off barrel around somewhere. If you're not in a hurry, I could look it up and shoot you a price.
