Have you tried shooting off bags instead of bipod?
Bipods can work, but often times cause some issues. Your gun should definitely be capable..... It's a nice gun. What scope/rings?
Some hand loads might help fine tune things down the road, but definitely spend the time on focusing on shooting fundamentals more than equipment.
I'm sure you have heard a lot of people suggest an "appleseed" event for instruction - they can definitely be worth your time if the instructors are good. It's also a lot of fun and you get a lot of rounds down range ( suggest a .22 however, .308 would be an expensive day). You could also see if you have a local range that shoots highpower, F-class, etc. there are a LOT of talented shooters that love teaching others - this can be priceless.