I know I'm a little late on this but I've shot the LCP and the P3AT. I liked them both. Great little guns for the price. However, I did not like the fact that they can't be dry fired and do not lock back the slide after the last round. For that reason, my favorite .380 that I've shot is the Kahr P380.
And jhughe, the LCP runs for about $300 right now. You can get a Kel Tec P3AT for even less and they are essentially the same gun.