Since you already have ordered the SB die this point is moot. But as much as it pains us reloaders, sometimes you need to try a box of "factories" or buy some virgin brass to test things. Just sayin'...Small base die is the best solution because even if you over-cam the standard die and are able to size be base of the brass enough to chamber it, it will inevitably bump the shoulder of the brass too much, thus giving the brass very few life cycles.
So a small base die is the proper solution.
You would not of had this issue if you bought new brass.
The range brass can be military and could of been shot in a military chamber, thus overworking it.
Military semi-auto chambers are very generous and expand the brass more than normal.