As for the scope mount and scope. Please send pics. I bought factory rail that mounts on top of the receiver. The rifle on the bottom is my 10/22. it has a Tasco 3x9x40 mounted on it. That little scope is pretty accurate. But I don't understand what you mean by it flops around. I do not have that problem with the scope on my 10/22. This is combination Weaver scope base.