Thanks for the replies and ideas, everyone! I haven't had the stock off yet to inspect the inside. I have a magazine/floor plate kit coming in the next few days and thought I'd wait until then to take things apart.
If the stock already has a stiffener as TN Grousner says, that might make the screw location an easy decision. And as HighDesertHunter mentioned, having the rail mounted toward the rear sounds like a good move, too. At the least, I'll use the existing swivel stud hole as the front hole and have the rail going rearward from that.
Since this isn't a free-floating barrel, I know I need to be careful with the stock.