I lose best on lower carb diets, also. I have to say that cycling low carb days with signifcantly higher carb days, doesn't work well for me. I find that an increase in carbohdryate level, also increases water retention, which makes it seem like I've gained weight the day after a higher carb day. Increasing carbohydrate foods (even "good ones") also often increases cravings and hunger which make it difficult to stay on plan. I'm still trying to find the ideal carbohydrate level that is low enough to control hunger and yet high enough to prevent low blood sugar symptoms (I'm prediabetic).
I'm not trying to discourage you. I think that any sensible change that you can see yourself making, is worth a shot. Experiment with different macronutrient combinations
pr levels, either as a whole or by cycling, but if you do notice water retention cycles or hunger spikes, adjust as you find it best. Even if they occur, you may be better able to deal with the effects than I have been.