You're LLC shouldn't allow you to do LLT. LLT is designed for people who are obese and presumably there's a good reason why they don't recommend total abstinence for people with a BMI of less than that.
In addition, LLL is still a ketosis-basis diet and actually according to my own LLC, people doing LLL are losing similar amounts to those on LLT. The calorie content is not actually hugely different.
Sorry to sound negative Yasmine, but "losing the weight really fast" isn't the point of this surely? Yeah it's a big part of keeping motivated and getting healthy - but if you find LLL is "too long" and "really hard" - are you really changing how you think about your relationship with food?
Suggest you talk to your LLC and your group about how you're feeling about it and take support from them, rather than looking for a quick fix.