I've posted this in several Sheiko threads now, but I'll post on here as well...
Do Sheiko first and then make the adjustments the second time around, especially if you're not a competing PLer.
The reason Sheiko works is that it raises your work capacity and as a result, you then get stronger because you're in better lifting shape.
There are some "glitches" with the program as is, but again, if you're not a competing lifter or high class lifter, don't worry about what some people write about some things that need to be modified before you even try it. Chances are you're going to get stronger by just doing the high volume.
That said, I don't recommend Sheiko for guys that are competing or from a high lifting class because the volume can be high and the intensity is not high enough in some spots to keep contest levels of strength up.
If you don't think the DLing all those reps is enough for your back the first go, you can sub chest supported rows for the flys and be done with it.