Am using a Winchester 1K vs. squirrels at around 10 yds.
Last year, I was using gold-colored Beeman Silver Bear-like pellets that I got from Wal Mart. The vast majority of the targets would scamper away after being shot, admittedly, some with rather strange gaits, but most did get out of sight. Occasionally, I'd later discover a deceased one elsewhere in the wooded part of my yard.
Well, this year, after heeding sage advise from this forum, I got some of Beeman's Crow Magnums. Most of the squirrels no longer make it out of my vision. Half of 'em drop on the spot, and the rest scurry up a tree for about 20 feet before they realize that they're actually dead and then behave appropriately. Quick, humane kills with even chest hits.
I don't think shallow penetration is a problem, as I've obtained in-one-side-out-the-other chest shots on juvenile bushytail bandits. If you look at the web site mentioned above by Lawdog, you'll see that with high-power airguns, and the 350M certainly qualifies, the Crow Magnums fragment up into an expanding component and a deeper-penetrating solid component.
So, I'd have to second Lawdog's ovation for these pellets. However, if you're good enough to routinely hit the little buggers in the head, with a 350M, it might not matter which pellet you use.