It's not a question other people can answer for you, and there are enough differences to make or break your succcess on an LC plan. You sound determined to shoehorn something that will fit your wants, instead of limiting or even sacrificing some things while you're in weight loss mode. SB and Atkins are both fine plans, but fairly different. There's also Sommersizing and Protein Power and SugarBusters and lots of other choices, so you may want to widen your research a bit. In the end you may decide you'd do better on a low fat / higher carb plan; there's more than one way to drop weight, after all.

All the best as you work it out.