Hi Dana, the 162gr ELD-X, SST or a bullet of similar weight will have the most energy downrange in this cartridge using RL16 or H4350. At 500 yds you can still have about 2,000 fps and 1,500 ft/lbs of energy with these bullets. This is with a 24" barrel so you will lose a bit of speed and energy with a shorter barrel on a compact rifle.
Hornady's 150gr ELD-X, 154gr SST or Interbond also with RL16 or H4350 is another option, you'll can still have 1,500 ft-lbs at 400+ yds depending on the load.
Lighter bullets will have more speed out the barrel but will lose it faster and won't have the energy that the heavier bullets will.
Dont know of your daughter is recoil sensitive, but heavier bullets will have a bit more recoil however there isn't much difference in this cartridge.
Hope this helps and stay safe