Got to think about his whole range rather than just a tiny bit of it. Especially when I think expecting him to jam the vast majority of those hands is very unrealistic and you probably also hate doing this with any other bits of your range.
I'd just be aiming to GII on the turn as a general line on this flop. As played turn is a really sucky card and you've put yourself in a really awkward situation where we can't really bet/fold and shoving is probably fairly bad.