I also find myself grazing if I don't do low carb but I just restarted JUDDD/LC which is up day- down day not total fast.
For me it is 400 calories down day/ 2000 up day. Then you can have a maintenance day/ 1000 calories.
I did this for two weeks and the DD got easier to do each time. I wasn't hungry at all .
Low carb for me is 25-30 carbs most days and rarely over 100 carbs any day, which also keeps me from being hungry.
I lost 7# then I went traveling and messed my body up with to many carbs and salt. So I started over again Monday lost 4# by Thursday morning.
You can eat what you want just have to stay in those calorie ranges. It sounds hard but you really are only dieting one day
then you can have what you want and if you exercise you are allowed to eat the calories you burned or not.
It is hard the first couple of down days but it gets easier as you continue.
Please keep posting how the fast is working for you and I will keep you posted on JUDDD. I want to find what works for me as a life plan. This may be it.