I'll take a gander at the B14r. Just not sure of accuracy vs T1X. Either are more accurate than myself (at the moment).
Also the B14r is considerably more expensive. A BMR would be more inline with pricing. That said, if I added a KRG then the Tikka is about the B14r cost.
You are already starting the dangerous (to your wallet) creep. It starts with wanting an out of the box rifle, then "just a little bit more" into a full-on custom rig.
For now, I would just shelve the BXR or any auto. Thoughts on the others:
BMR-Decent walk around plinker, hunter rifle. Not much aftermarket yet.
B14r-Remington foot-print action that can be either an out of the box fun range gun, or customized into anything from a lightweight trainer to beast mode PRS rifle.
T1x-A great out of the box plinker, hunter. Great aftermarket (even pre-fit barrels) that can tailor the rifle as you see fit.
CZ457-See T1X.
I currently have a B14r that I got as a barreled action and built it up as if it were a Vudoo or RimX. My thought process was if the B14r didn't cut it, I would upgrade the barreled action and sell it off. That didn't happen and I will still build up a RimX in the near future. I only mention that to say if I had just bought a T1x, put it in a KRG Bravo and installed a $12 trigger spring, I probably wouldn't be missing out on anything and at a considerable savings. Put your money in the glass, that is what is going to put the biggest smile on your face shot after shot.