A few thoughts:
1) If you want to gain strength and mass, you can go low reps, but make sure to keep the volume high too (like 8x3, 12x2).
2) This is most likely a nutrition issue.
3) Doing a hybrid program of EDT and a strength routine sounds like an awesome way to gain strength and mass. (check out the hybrid training articles recently)
4) As for gaining muscle and losing fat in the same week, I think there's some diet that's supposed to do it (maybe T-Dawg or Delta-1250 or something). I would say that planning to clean bulk or gain strength but cut is more realistic, easier, and more successful in the long run, but that's just an opinion. To me that's way too much to keep track of, and you have less room for error, and there's always error in counting calories.