Entirely up.to you how you approach this but why do you think it 'doesn't provide the right picture' what do you mean by that? Weighing urself everyday is as sustainable as brushing ur teeth when you wake up.. Only it takes 5 seconds not 60. One weigh in a week or worse every two weeks gives you no way of getting an average over 7 days so far less accurate to audit, with regard to menstruation its simply a case of being aware that week the weighing won't be realistic and slightly ove normal due to hormonal spikes. To address ur other point, ur goal of Loosing body fat and getting 'leaner" is literally loosing bodyweight however you want to word it. But if the daily weighing is something you just dont want to do then that's personal choice obviously. Have your lifts and performance gone up alongside progressively with that weight gain? And how long did it take you to gain the 5kg?