You did not even tell us what the base airplane is made of. Then the shape and dimensions of the bracket matter a bunch too. If this thing is only a inch off the fuselage floor, that is one thing, if it has to be attached to something 18" away, that is quite different. All that stuff matters a lot as to making the servo stay put, not rip out of the base airplane, etc. To design a decent part, you will have to figure out how it is to be mounted, what the loads are, etc. And if you are not qualified to design such a part, whoever you hand it off to will be asking these questions too.
We usually build the rest of sheet metal airplanes out of 2024 or 6061, that might be a good place to start.
As to thickness, you are designing an airplane part. It has to support the mass of the item at the g limits of the airplane and with max servo holding force, all with FOS of 1.5. You can start doing the engineering or hope that somebody comes along and gives you a design. I don't have the background to just look at it and tell you what stock and how many rivets of what size will work, and guessing is bad.
Billski