So, according to basic Ant-Man theory, if I were hit by one of these, it should be like getting all that (10% of a) ping pong ball energy concentrated in a tiny spot, causing me to fly backwards across the room?
Unless you get thrown back by ping pong balls normally, I think you'd be fine.
But also neutrinos don't typically collide with things very easily, they're more likely to pass through you without you ever knowing.
In the wrong spot, this sounds to me like it kills you?
Nothing to be afraid of, of course, for the reason you mentioned. Just wondering, xkcd "what if" style