4bet slightly larger and we can just jam the flop with our whole range.
We are talking about an SPR of 2 as played so this talk of auto-folding to a donk bet, or bet/folding are pretty much out of the question imo. This player could have QQ-99 and just sigh/spazz jam. At any point on this board. Yes we are in terrible shape against AK, but there are only 4 combos of that, and why would he give you any excuse to fold on this mega dry board. Not impossible he leads or x/jams but he certainly doesn't have to.
I would be cbetting (small), so that I can cbet almost my whole range here, then probably jam most turn cards.