I would load the 180 Bergers. Take a look at the energy of the selected bullet at distances and also your skill level. Then decide what distance you feel good about shooting the choosen game. If you are not sure you can put it in the vitals area, don't shoot.
We purposely shot game with 210 Bergers from a 30-378 Wby at close distances to see for ourselves what the bullets do. Closest shot was at 60 yrds. Results were very very dead game with complete pass throughs even when shoulder shots were taken. The only bad part was a a complete loss of the front quarter and in some cases both shoulders. I would expect this from about any bullet from a 30-378 up close. The amount of game I personally have taken with Bergers is almost endless, and at all distances. I will withhold my experiences and comments on solids as I am not looking for a debate.
Shoot for the crease right behind the shoulder. Intersect the far shoulder if this shot is presented. Bottom line, place em well and you will have no problem.
To place em well at long range it takes accuracy and practice. You stated in your OP you wanted accuracy. Shoot Bergers and practice often.
Good luck and let us know how the new load shoots.
Jeff