RE: Ammo for 30-06 ?
Hitting bone with a thin jacket bullet at a high MV meant to expand at lower velocities will produce big holes and limited penetration in most cases. Not a bullet failure but by design. If your shooting close distance and/or bone then James B suggestion of a Nosler Partition is a good one 150-165gr would work just depends on what your rifle likes better.
However if the shot was just a slight pull or shooter error than the BTSP you currently use on the ribs will work just fine. Only you can make that call.
If just want to try a different bullet tons to choose from! A good deer load the Hornady SP 150-165gr maybe worth a look. Being flat based this bullet should hold together a bit better than a boattail and opens up pretty nicely on deer for a good wound channel..long range accuracy may not be quite the same as a taper heel bullet but they seem to fly pretty good to average distances.
Just pick the bullet your rifle likes and fits your model(shot length and aim point)
Good Luck