I'd like to bet fold (unless we have like evidence or just know he is likely to bluff here a decent amount) around $180. (although i probs puss out and bet a smaller amount like you did too often in practice) I also think jamming the river seems outrageous with the effective stacks and because people are going to be using
hands like Q7s, other weak Qxs hands that wont snap call a shove but obviously will if they made a weird straight with their bluff hands. I also think his range is mostly weak Qx and lower than the Q SDV hands like TT and JJ (i don't think there is very much 99 and lower cause i just dont think his value 3bet range has many of them in as its not really standard, unless you 4bet a lot in which case he might extend his 3b/5b range to include them, but yeah gotta severely discount hands like 77-99.
But yeh, i just think a value bet and not a shove is gonna be more +EV, don't like x/c or x/shove just because i dont think he has a ton of bluffs here compared to the amount of SDV hands which will just check back.