Is there a special reason that you don't want to use the activity stack and let the activities handle themselves?
The Android system has done a very good job with the activity lifecycle. It allows you to start an Activity from different places without confusing the user because the back button will bring the user back to a different activity.
If you don't have a very good reason to not use the Android guideline try to stick to the way the system is doing it. Every other thing will only give you problems.
You are starting activities for a result but how I understand you you will never return to them.
You can start an Activity and after that just finish the current Activity. That way the activity will not be put on the back stack. Now you need to listen for back button pushes and create the activities that you want to bring the user to.
If you want to move from Activity A to D like going to the start/home screen of you app you do the following:
Intent goBackToA = new Intent(context, StdActivity.class);
goBackToA.setFlags(Intent.FLAG_ACTIVITY_CLEAR_TOP);
startActivity(goBackToA);
The flag FLAG_ACTIVITY_CLEAR_TOP will tell the system that if the backstack contains an instance of the Activity this activity will be shown and all activity that are between the current activity and the target activity are removed from the backstack. This allows you to go back to a home activity without creating huge loops that the user can move through with the back button.