Greetings faktat, and welcome aboard
PJR makes a valid point about setting your priorities. Typically a comp gun is on the heavy side to hump after birds all day. And, a lighter carry-all-day gun isn't going to be as stable as a comp gun on targets. You seem to be of the general purpose gun mind set. This is common with stick gun owners who do everything with one gun. They may have an extra barrel for slugs and one for HD, but, they are still of the "one gun can do everything" mind set. Some folks never change, while others want a gun that will let them shoot better in their discipline of choice. Or, they just want a nicer all-purpose gun.
Transitioning from a stick gun (pump or auto-loader) to a comp O/U is quite a change, and typically I recommend going to an entry level sport specific gun. However you haven't chosen a sport. Neither of the guns you mentioned is a general purpose gun, and will probably give poor service in that respect. The Blaser F3 is a comp gun and is offered in 7 types. Each type is specifically suited to its clay target sport. On the other hand, the Baretta SV10 Perennia is a field gun, more specifically an upland gun. Neither of these is marketed as an all-purpose gun.
What you're asking of your shotgun is like looking for a car that you can drag and road race with, get plywood or drywall from the building center, and take the family out for a Sunday drive. No car will do all that very well, neither do all-purpose shotgun. Of my comp O/Us, I have different models for the different clay sports. My 28 and 30-inch Briley tubed Skeet P-guns are vastly different from my Trap combo.
Unlike my friend, oneounceload, for me a beavertail forearm with finger ridge works best. I know this because I competed with a Schnabel-type forearm for a year and went back to the beavertail and compared my averages. The finger grooved beavertail provides me a reference for my "pointer" grip. What works for me might not work for 1-oz -- that's why both types are offered in higher end guns.
When you buy a gun like the Blaser F3, you're getting a gun that the manufacturer thinks has the features wanted by the majority of the shooters in that specific sport. That doesn't mean it will be perfect for you. The same applies to the Beretta, they are trying to provide what most upland hunters are looking for in a specific price range. They hope you'll think they offer more bang for the buck in an upland gun than the other upland guns in that price range.
Another way to look at an all-purpose shooter is to consider it as a gun of compromises. Too heavy for the field, but too light for serious target shooting. The stock not quite high enough for trap, but too high for an upland hunter. The barrels are are on the long side for doves but on the short side for handicap tarp. I think you see where I'm going with this. If I was thinking of spending in the neighborhood of $5K on a gun, I don't want to make any compromises. Perhaps you first step should be to decide it the new gun is going to be for targets or hunting. That way you can eliminate many compromises. There are quite a few nice guns these days marketed as "sporting" guns. They can be used at the club level of all the clay target games. On the other hand, you may not find a nice O/U that's at home in a duck blind as well as upland hunting. Many folks don't want a nice O/U in a wet environment.
Good luck, and try as many O/Us as you can beg, borrow or rent. That way you can evaluate the many variables.
