I hate iron sites on anything. Scopes have spoilt me, you could say.
To answer your question, a .308, or any caliber, with a good scope/ring/base combination can't be beat!
Find you some Leupold or Redfield rings and bases and spend as much as you can afford on a scope. It's best to save up and get a nice scope to start with, rather than buy 3 or 4 other, cheaper, ones... It took me years to find that out, but now I'm set.
Let me add also, keep the scope as close to the barrel as possible without touching it. This improves accuracy and comfort while shooting. Your cheek will be resting on the stock, not wobbling around off it trying to see through the scope.
On my rifle, you can just slide a playing card between the objective end of the scope and the barrel. I'm getting .75" groups at 200 yards. Factory rifle, with a trigger job--that's all.
A lot of people say, "I like the iron sites and see-thru mounts so that if a deer is close to me I can just pop'em with the iron sites". That may be true, and I believed that for a while, but realized that I never used them. I would always use the scope, no matter how close the deer was to me.
Get a 3x9 scope, keep the power on 3 or 4 power, and don't worry about it.
Also, the scope will give you a couple more minutes of daylight in the evening and is a whole lot more forgiving than iron-sights in those low light conditions...
Just a few thoughts, good luck...