There is no problem using both methods together - sometimes you'll want to get your hands dirty with molding vibration deliberately, sometimes you'll just want the Universe to deal with all the details. There's no right or wrong...just do whatever you feel like doing, as long as it makes you feel better about what you want.
If you do want to link both methods, then one good way would be to use Manifesting Experiment 2 to first make yourself feel good about your desire ("clean up the vibration") and then use Manifesting Experiment 1 to get very clear about what you want, and then let it go.
From that place of feeling good about your desire, you won't be stopping it coming even if you do happen to open the box and think about your desire from time to time.
If you start to experience negative feelings that what you want hasn't come yet, just start a Focus Block to tackle those negative feelings and move them into a better place.
There is nothing wrong with re-reading a Focus Block again and again if it makes you feel good, but it's not a requirement for the manifestation of what you want.
There is a metaphysical principle that says Your vibration about any subject always stays at the place you last left it.
So it makes no difference how many times you re-read a Focus Block - your vibration will still remain at the best-feeling thought of that block whether you re-read it or not (assuming you don't think about the subject again in-between those times).
What will make a difference though is if you continue to deliberately mold your vibration beyond that Best-Feeling thought into Even-Better-Feeling thoughts.
It really depends just much effort you want to put into manifesting what you want.
I guess I'm just fundamentally lazy(!) so I like my stuff to come in the easiest way possible with the least amount of non-inspired action, but I can quite understand that those with a strong action-based work ethic may wish to get more involved.
Again, there's no right or wrong with this...just go with whatever you feel is right for you.