Using a scope to a shot gun for turkey hunting... Red Dot, low powered "traditional" scope etc. , is just not my bag because right now I can see well enough to do without one. Admittedly I have no expereince with a Red Dot/shotgun set up. My old a$$ conservative stance is that I do not care to add a layer of complexity to a system .... unless I have to.
I like open sights for turkey because it is much easier for me to pick up the bird. An option that you might want to try is a fiber optis front-rear sight system. These allow fine tuning the pattern's center, they work well in low light and wiill force your cheek to the stock when you to "aim".