EII being Fi ego is among possible.
To understand better the type, you may evaluate your IR impressions from delta, gamma and other, - in my examples of bloggers and with people near, with meaningful positive and negative people in your life.
Enneagram types should match with any types, as it's different typologies. It's hard to say more than a predisposition for some E-types to be some Jung's types.
ILI, maybe? Very surface impression, mind you.