Ahead of his range but unprofitable to push?

[JFsports]

interesting post, my default would be to always push here. Villain's can have draws a lot of the time, or if they don't they can 'put you on a draw' and call with one pair. Imo, (to not shove here) you need an iron-clad read that
a) his raising range does not include any draws
b) he will fold all the one pair hands you mentioned to a shove.

If these are both true, then I would call and either c/c turn or bet it myself, depending on what your read is. There are no real scare cards that can come from your point of view as you say he can't have draws.