With the right load, and shooting from a cold barrel, the 30-06 Handi is readily capable of 500 yard shots. On something thin skinned like antelope, it can be stretched on out to 700 with work, and the right bullet.
I never shoot more than 3 shots, then let the barrel cool. When hunting it is always the first shot from a cold barrel that counts. The only time my 06 sees the bench is when it is in need of having a new scope sighted in. For practice, and plinking, at the bench I shoot something else. Or I take three Handi s and alternate them.
My favorite bullets are the 165gr Nosler Ballistic tip or the 165gr Nosler partition. And the Sierria 165gr HPBT.