You said LSE is a bad typing for you, but you also see yourself somewhat between Alpha and Gamma values (and considered Beta as a compromise). From what I've read in your your text, Te-SLI might actually be a possibility for you. Delta is an aristocratic quadra and what you said about moodiness/emotional instability could be related to a Fi hidden agenda. As I have said before, the stereotype of the SLI does not suggest an overly intellectual person, but I'm very sure that this is not a disqualifier (especially if you are E5 or have an 5 wing).

I don't know how reliable this assessment is. It's been quite a while since I thought about socionics.