No snap cap necessary. A quality aluminum snap cap, like an A-Zoom, won't hurt, but you don't need it.
I have 5 M&P handguns. Without exaggeration, I have done hundreds of thousands of dry presses. Most of them have been with an M&P 45. I also know several other people with the same experience. None have had a striker break.
This is not a CZ forum. There may be some quirk of that gun, I don't know, but it's not relevant to this discussion. But as long as another brand was mentioned, I have done many more dry presses on other brands and never had a striker or firing pin break.
If a striker or firing pin were to break within a couple hundred dry presses, it was defective and was going to break anyway.
So, go ahead and do dry practice. You won't damage your gun. In the unlikely event it were to break, S&W will fix it for free.