You did not specify, but the shower trap and drain must be 2". Your plan will not work because the dry section of vent cannot be horizontal nor can a sani-tee be used on it's back. You will have to move the drain and the vent.
There is no way your design would EVER be approved. You are essentially installing the sanitary tee backwards. The sanitary tee is NOT on its "back" it is on its "face", which is even worse.