The only other method I remember from the original game is having the mob whack him off.
Since we don't know much about this game's version of Eric I wonder if anything like that would happen, or if it will be like the original "AS" and he'll get kicked out for messing with Lisa and Alice. I think Aleksey had said he could still be nuisance for Ann at her job once he's gone, so maybe there won't be a "have him dealt with permanently" option.
Either that or that will happen after he's kicked out due to him being a pain in Ann's ass at work.
We'll see, it'll be a while but we'll see.