Interesting line to take on the turn but I think there are some problems with it:

1) Villain sizing on flop and turn look more like 'value' bets than not. He has bet 1/2 pot and then almost 2/3 pot on turn.

2) What does your all-in rep here – villain probably thinks most A's and pocket pairs would 3bet preflop (possibly even jamming with your stack although it is a slightly big jam) so it mainly leaves draws and air in your range here and I think there is a more than fair chance he calls even with hands like J9, T9 and so on although upside is that you have outs to the straight.

3) Not sure the 4s is a great card for him to barrel after you call flop as he has to give you credit for something although I guess he can barrel with air or maybe a flush draw that he has now picked up. You can't discount an A either just becuase he is an aggressive player as that is still going to be a decent part of his preflop range.

4) He is getting pretty good odds to call your all-in here as he is almost 3/1 so could feel a bit committed.

Basically, it seems to me like you are repping pretty thin in this hand so unless he believes you have played something like A9, A6, A4, 99, 66, 44, etc passively preflop then I'm not sure if it will work often enough to be a profitable shove on the turn.