OK, it sounds like this particular model is not a particularly good fit to your hand and/or that the trigger has a long pull. You might want to look at aftermarket grips as a first and fairly inexpensive solution. Perhaps someone like Houge makes a grip with a little more meat than the factory stocks. Finger grooves may help as well.
That said, I'll confess that I'm not especially familiar with Beretta pistols. I shoot a SIG P229/.40, which is a compact, but double stack, pistol. I also have fairly large hands, and even though the SIG factory grip panels are relatively thin, the mag well is wide and quite hand filling. You might be able to accomplish the same thing with a grip change, but try before you buy.