Most of the deer I have shot with the 30-06 has been with the cheap 150gr Federal blue box ammo, it's plenty accurate out of both my 06s. When shot through the ribs kills are very fast, deer goes down within 30-40yrds.
I have also killed 1 deer and 1 bear with the 168gr Winchester Ballistic Silver Tips,.. I'm not going to downgrade this round because of my limited experience using it, but, I do not recommend this ammo at close ranges, such as 50-75yrds, from an 06 or any faster 30cal. The bear, (150lb dressed), was shot through the ribs and travelled 50-60yrds,.. entry hole was .30cal, exit hole was atleast 2",.. the bullet continued on for another 8' where it hit a large Maple and sunk well out of sight in the tree,.. After seeing all this I was quite impressed and thinking wow these 168 Silver Tips really perform, severe internal damage to the animal and great penetration. Later in the season I shot a small, (120lb dressed), 6 pointer in the same spot that I took the bear, the shot distance was exact, but performance from the ammo was not,.. I shot the deer through the ribs as I did with the bear, but this time the bullet went to pieces like a grenade, the entry hole was as big as a Loonie and no exit hole, I found just part of the copper jacket in the meat under the hide on the off side, all the damage was on the entry side, 1 piece of the bullet went forward and came out at the front of the shoulder on the entry side, other pieces punched back out through the ribs, but didn't go through the hide, on the entry side,.. plus the front shoulder was broke on the entry side,.. all this damage was caused from the inside out,.. I could maybe understand the bullet blowing to pieces if it had hit major bone going in but it only nicked the side of a rib. The internal damage was minimal, only destroying part of 1 lung, and, of course, a fragment had to find its way to the paunch,... yes, after 75-80yrds the deer was dead, but I was/am no longer impressed by this ammo and will not be shooting it any more, or atleast not at close range,.. if your shoots are 100yrds or more they may work perfect, but not at the 50yrds I was shooting.
I have shot 1 deer with my hand loaded Sierra 180gr round nose but I shot it in the butt of the neck, so I can't say how it would work on a lung shot, but it performed very well on the butt of the neck, good penetration, broke the spine, and lodged under the hide on the off side in a nice mushroom.
I think the Remington 180gr round nose Corlokt would be a good round.