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John, the Kronus will work but, I would seriously consider the 308 Calibrated line of scopes here : https://ioutdoorpursuit.com/308-rifle-scopes/
The Konus is a good scope for what it is. I have one on a 17 WSM rifle. For the range purpose of your question, I would recommend a different optic. Bushnell has a line of scopes called Engage. Look for one with exposed turrets. You can find one with about the same specs of the Konus. The Engage also has a 30mm tube. They are not much more than the Konus. Bushnell also has good customer service, if needed. The Engage has a better ranging reticle compared to the Konus. You'll be able to stretch out that .308 caliber.it was my pleasure to assist you.