I don't know anything about Stillman's or even WW Core, but there's also something called "Atkins KIS" that I found on here a long time ago. It's not the same as a meat/egg fast or even a 'fat fast' - it's a very *clean* version of induction, but with unlimited vegetables (from a list), meat and olive oil.

I'm not so hot at the search function, so I can't find the threads which detail the Atkins KIS variation, but it's something you might want to consider. Lots of people on the forums like to try it just after the Christmas/New Year's holidays to kick things into gear, and get 'going' again on weight loss.

If I find the threads about it, I'll post the links in here for you to take a look at. It's very effective, if a wee bit boring. Not low-fat either, just a super clean variation on 'induction', so to speak.

Also - while I'm certainly not all that up on South Beach, I'm pretty sure that I've seen JudyNYC advise people who are switching from Atkins to South Beach, that it's best to start with Phase 1 I think? Might want to go over to the South Beach section of the forums and ask.

Hang in there - you'll get this happening, one way or another!