fitted one of these to my 308 bush rifle and find it excellent , but primarily for short range bush hunting .
what sort of ranges are you expecting to hunt at?
my 338 long range and hunting rifle wears a vx6hd (out of your price range I realise) that if I remember correctly is 4-24 with 50mm objective . it is a little heavier but I find it does both jobs , hunting and long range out to 1km fine . The rifle is a hardy carbon job though so lightweight for calibre . Around 4.5 kg all up from memory
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