Your parameters are pretty easy to meet and there are many bullets you could try. But here are my two cents.
Cent #1: I don't like lead in my food; I don't have any IQ points to spare. So I start with the non-toxics and see if they'll shoot. Anything under an inch will work at 400 yards or less but better is always...better. The Barnes 120 TTSX (not their LR, they are not as accurate in any of my guns) shoots flatter than hell and works well in my custom 264 Win with a range of powders.
Cent #2: If I can't get non-toxics to shoot well enough (for me that's .5 or better average in a 3x5 for hunting guns ((average group size for 5, 3 shot groups for magnums, 5 shot groups for non-magnums)) then I move to bonded lead bullets and I try to stick with the tougher ones. Bullets that don't pass through largely intact are leaving microscopic bits of lead in the meat, no matter how careful you are.
Cent #3: If cents 1 & 2 offend you because of your politics re: government dictated bullet choice. Don't bother to respond as I just don't care.
Cent #1: I don't like lead in my food; I don't have any IQ points to spare. So I start with the non-toxics and see if they'll shoot. Anything under an inch will work at 400 yards or less but better is always...better. The Barnes 120 TTSX (not their LR, they are not as accurate in any of my guns) shoots flatter than hell and works well in my custom 264 Win with a range of powders.
Cent #2: If I can't get non-toxics to shoot well enough (for me that's .5 or better average in a 3x5 for hunting guns ((average group size for 5, 3 shot groups for magnums, 5 shot groups for non-magnums)) then I move to bonded lead bullets and I try to stick with the tougher ones. Bullets that don't pass through largely intact are leaving microscopic bits of lead in the meat, no matter how careful you are.
Cent #3: If cents 1 & 2 offend you because of your politics re: government dictated bullet choice. Don't bother to respond as I just don't care.