This would have been a whole lot tougher before I actually purchased the perfect rifle/caliber/weight combo meeting this very scenario. The answer is simple (for me at least):
Barrett Fieldcraft in 30-06 with a VX5HD 3-15 scope. Whole thing comes in well below your bonus points of 9lbs and it shoots everything you put through it MOA or better. Picking just one bullet for this particular rifle however, I would go with the 190 ABLR. Best of both worlds....bonded so it stays together up close but also a soft enough tip to be used way out there. Shoots them half-MOA at 2750fps packing a heck of a whallop on anything from small to large/dangerous game.
That's a great one stop do all outfit Silver. Only thing this old dog would do is switch the bullet to a 200 Noz and call it a day. Great outfit!