I would suggest giving the Hornady SST 139g's a go. A lot of people reckon they're a good all rounder.
They have the penetration and open up perfectly on red deer at ranges (granted 350m is the furthest I've ever taken a crack at one from), and still will bust up a goat at 30m no worries (will go through him but still leaves a decent hole).
Given the plastic tip they're very uniform so SHOULD be great for accuracy out past that.
I've also used the Remington Core-Lokt 140g's and Sierra game king 160g's. They were both pretty accurate in my model 700, but I can't speak for performance on animals for those ones. Being a soft lead point they should be pretty good though (you'd expect).
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