Those 300 gr. HP are fine for lung shots on deer. Just do not use them on anything larger as they will fail to penetrate and blow up if bone larger then a rib is hit.
The Hornady 350 gr. RNFP is a great bullet for larger game and does not kick that bad when loaded to 1800-1900 fps.
I used that bullet to take one wild boar, about 275 pounds that was facing me at 65-75 yards. Hit him at the junction of neck and shoulder, drop him dead in his tracks. During skinning found the bullet just in front of the left ham expanded to 73 caliber. About 27-30 inches of penetration.
Taken 3 buffalo with that bullet and all were one shot stops and only recovered one bullet after going though both lungs and breaking far side shoulder and bullet was lodged just under the hide. The other two exited and were never recovered.