I recently got finished setting my wife's 7mm-08, Weatherby Vanguard up. It's a little heavier than most of the inexpensive hunting rifles which helps with kick.
I am very happy. Shooting Hornady, 139 Grain, American Whitetail, it kicks about the same or less than my 30-30 using 160 Grain, FTX, Leverevolution. The Weatherby is a little heavier, has a recoil pad, and the thrust line of the kick is more straight back due to the stock so I think this lessens the felt recoil over the 30-30 Marlin.
I had bought some Hornady, Superperformance, 139GR, SST for the 7mm-08, but I was so pleased with the cheap American Whitetail, that I haven't shot it yet. We will try it after hunting season.
After breaking in at 30 rounds, I got groups that were less than .71" and more than .56"
I am just a regular guy type shooter, not a person who is at the range going through a lot of ammo.
For target shooting, I would say the .243 would be even lighter kicking and might be cheaper ammo. I would probably go with that for target shooting. I almost got a .243 for her, but it's a hunting rifle and I think the 7mm-08 is light enough of a kicker and a little better for more types of game.
If you do go for a Vanguard, Talley lightweight rings have a special part number for Vanguards whereas most manufactures use the same rings for Howa, Vanguard and Remington. I believe the difference is that the Vanguard back ring should be slightly higher than it would be for the Howa and Remington even though Howa makes the Vanguard. I use a Kokopelli lapping and alignment kit to align and lap the rings.
I get bruised easy because I am on blood thinning medicine, and so is my wife so I did a lot of research to select low recoiling hunting rifles. For hunting, the kick doesn't matter, but we like to be able to practice and not get bruised from shooting a box of ammo.