If you try and game the system you will have no headway available to reduce when you hit the inevitable stalls. You also risk reducing your metabolism, which will ultimately kill your caloric intake for maintenance.
Unlike conventional diets where this is a good short-term philosophy, ketosis doesn't work that way and you can do yourself a lot of harm by trying to minimise in this way. Your body has a starvation mode and if you drop your calories and/or carbs too low, it will stubbornly hold onto fat and refuse to lose.
Simply put - trim visceral fat off meats, eat good proteins (chicken, pork, fish - both oily and white, good cuts of beef, 95-99% lean ground) and eat good healthy veg with plenty of antioxidants. Don't forget that veggies may be higher in carbs, but they also tend to be high in fiber which balances it out and keeps it moving through your digestive system quickly.
You may see a bigger return on loss in the early days, but that won't help you after the first couple of weeks as your smart body adapts and fights you.
IP works. Trust the process or be smart with alternatives. When you exercise heavily build some more calories in to keep HEALTHY. Nobody wants to lose lean weight and make themselves less healthy in a fat burning program.