The easy button for what you want, and probably the most economical way to be sure of getting good results, would be to go with Douglas or ER Shaw. You can send it to them and they will put a decent barrel on for a pretty reasonable cost. From what it sounds like you want, there's no reason for you to go to one of the big-name, boutique barrel makers and spend around $700 or get a blank from one of them then deal with another person to profile, chamber and fit the barrel to your rifle.
One thing to consider: if you get a blank somewhere and get the work done somewhere else, if the results aren't acceptable the gunsmith can blame the barrel maker and the barrel maker can blame the gunsmith.
It's not like you're looking to end up with a high-end custom build or a competitive long-range target rifle. You just want your very ordinary hunting rifle rebarrelled with a decent new barrel.
The biggest thing in your favor is the fact that the 700 is probably the easiest thing out there to get work done on.
One thing to consider: if you get a blank somewhere and get the work done somewhere else, if the results aren't acceptable the gunsmith can blame the barrel maker and the barrel maker can blame the gunsmith.
It's not like you're looking to end up with a high-end custom build or a competitive long-range target rifle. You just want your very ordinary hunting rifle rebarrelled with a decent new barrel.
The biggest thing in your favor is the fact that the 700 is probably the easiest thing out there to get work done on.