Ken, is your rifle a replica of the Winchester 1892 or the 1873? In either case I'm sure that there's some way for it to be done, but the specifics would be radically different depending upon which it is. With enough cash and a bit of ingenuity, a great deal is possible.
The most 'authentic' looking (stretching the term, I know) outfit I ever saw on a '73 replica was one that I believe was made for a replica Henry. It had old-style W&E adjustable rings and a looong brass scope tube that ran almost the entire length from receiver to muzzle. Couldn't have been cheap, but it looked a lot less anachronistic than anything else would've.
The mount was made for a hexagonal barrel of very similar dimensions, and required that two 'blind' holes be located, drilled and tapped for each base. I can't recall exactly how many were needed, but it was more than two, I'm sure.
If how it looks isn't so much of a concern, I'm sure that there are side-mount and 'Scout' type bases that could be adapted to either design. Your best bet is to find a knowledgable professional 'smith in your area and discuss the project with him. With their knowledge and experience to draw on, I'm sure that you can come up with a combo that is will fit your tastes and budget.
