I undersood your predicament. If you want to continue practice and also do regular LLM (day), it is not possible. This is simply because you cannot pursue two things at a time. Even if you manage both the things, in future if you want to use LLM, you may face problems, especially if you pursue carear in judicial side.
My suggestion to you is to pursue evening LLM which is permitted and you can continue practice as well as study LLM. Certain percentage of seats may also reserved for practising advocates in the evening courses.