Do you have experience with dieting? Have you successfully dieted in the past? Different diets work well for different people while a deficit is required in nearly all situations to lose fat.
I'm like you and do not feel very good while going low carb until I go into ketosis. The first two weeks on low carb makes me feel bad and my performance isn't as good in the gym.
Carb cycling is effective, but again I feel weak/off/lethargic on my low carb days.
Personally, I find it easier to do a 33% macro split, getting 33% of my calories from carbs, 33%, protein and 33% from fats. Right now at only 3,000 kcal, that puts me at 263g protein, 263g, carbs and 100g fat.
I find that cycling my calories based on my activities seems to sit with me better and I'll drop my calories by 250-500 on my off days.
To answer your question on whether or not it's a good idea in the end, only you can answer that for yourself through trial and error. Do not get paralyzed by information. Pick a plan and execute it and through experimentation figure out what works best for you.
My opinion is that there's more than one way to skin a cat in all situations. Since you stated that you don't feel well on low carb diets, I would assume that you will feel slightly lethargic on your low carb days.