My wife has a very slight build and is sensitive to recoil. Right now she is running a 700 in 243 win which is running around 9 lbs. for her the recoil is manageable but it's a little heavy for her when hunting. I'm looking to build her a rifle with enough energy for out to 250 yards for small whitetail in central Texas, wanting to get to around 7lbs. Would the 6BR with 105 grain have comparable recoil to the heavier 243?