If the OP is truly only focused on seeing the results on paper, then the reworked Remington is probably going to be hard to beat, especially for the least amount of money spent.If the OP wants to put together a simple inexpensive hunting rifle that anybody can build their self here is a list for a budget build.
Remage prefit barrel
HS Precision stock.
No machining required and no glass bedding either. Only work might be sanding a little out of the barrel channel of the stock to make it free float. If you don't want to put the barrel on yourself any gunsmith would probably do it for 25 bucks or less. I mean it literally takes less than 5 minutes to put the barrel on. So like I said the 700 is like the 350 Chevy engine. Tons of proven build list to reach the potential you want. This budget build will shoot 1/2 minute or better.
But once you start down the road of building rifles which are more customized to your tastes, you start to realize that you are on a very slippery slope!