308 would be as large as I would go for just plinking and its overkill for what you want. 7MM-08 or 257 or 243 would more than fulfill your requirements or just get something in a 223.
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Good intentions will always be pleaded for any assumption of power. The Constitution was made to guard the people against the dangers of good intentions. There are men in all ages who mean to govern will, but they mean to govern. They promise to be good masters, but they mean to be masters.
--Daniel Webster--
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