Your method sounds to me like it'd have some grounds and fines floating around in it, which is okay but I'm not a huge fan personally, and it'll also be multiple things to wash (though, they sound like easy washes). I also don't have nice coverable drinking bowls, or even very nice cookware for boiling water up in.
My method's pretty easy twice a day, but it's not perfect either: I couldn't make this somewhere else, but... I do live here. :) That said, it did take a while for me to find a good grind size with my machine, and to find scales and cups that fit under my espresso machine's group head and had the right range etc required, and I've got to wash my little espresso cup I pour into, and I had to buy my own non-pressurized portafilter basket, so it took some real time to come together right.
I'll have to try your way out!