Yes, intertypes are going to be the most stubborn opposition to keeping her as my epic dual.
I swear on my sharp, pointy, white and glossy PoLR that I will find a way, though. *shakes fist*
EDIT
Even though my inclination to swallow her being LII in isolation (ie without considering intertypes) is tending to waver somewhat at the moment (compared to considering her intertypes which all point to an overall positive relationship with Fe and Merries and a poor one with Se).