Oops! Back to school! Lol1lb a week is not 30lb a month.
I would say somewhere between 0.5 - 1.5kgs of muscle for a month for non-newb gains is about all you can expect, and it is 100% dependent on your training, diet, genetics.
Timing does not muscle gain - intermittent fasting should be proof enough of this for you. You cannot gain on maintenance - the very definition of "maintenance" is that it isn't enough for you to gain weight (of any kind), and is enough for you not to lose weight (of any kind).
Pipe dreams are fun, I suppose ... ?
4-5lbs a month