I've had a few Browning's, between my dad and buddy they've had 6 more, all were shooters.
I just finished a Tikka 7prc build as well. I ended up spending quite a bit more then $1500 though. That was mostly my fault for getting a different stock, and a proof research barrel. If you go this route then you can find a lot of good deals on items for the build on the classifieds on here.
The Browning x bolt is hard to beat, just have to add a trigger spring and it's good to go. Tikka would have more aftermarket support, you could rebarrel easier and have a semi custom build.