Just built a Tikka action with a Carbon 6 barrel in an MDT chassis. Crazy how accurate it was right from the get go. Kind of best of both worlds. Not super expensive, and mostly custom. I did end up with more than $2k in it, but you could easily keep it to $2K if you need to. That being said, I also have a stock Tikka 30-06 and stock Sako A7 that both shoot every bullet I put through them incredibly accurate. Both are just great, lightweight, inexpensive rifles. Browning X-bolt shoots great, as well. There are a lot of options out there these days that are super accurate right off the shelf. As others have said, the custom/semi-custom route is about making something that's really personalized for you. But you don't need to spend a lot of money for accuracy these days, particularly if you reload.