I think INTP is a good bet. If you feel tied on the P/J spectrum, yet you relate to the Ti and Ne combination the most, then prominent scrutiny points out INTP. INTPs naturally seem more J than ENTPs for obvious reasons, because MBTI has this weird mix of introverted temperaments going on, and it's not exactly because Ti is a J function. Ti is very P and J at the same time.

I also think in socionics you could consider ILI instead of LII. I'm not saying you're one over the other. I just see potential for either at the moment.