I remember hearing dbitel say in one of his videos (I believe it was the first one) that with AK he's always happy to get it all-in PF. His expertise is 6-handed play so when I heard him say it, I interpreted this as being the correct play just about every time with AK as long as the game is SH, which is what we have here.
I'm guessing that exceptions to that (if there are any) might be 1) vs players who almost never 3bet, but on $200 nl SH I doubt you have any of those, and 2) when the pot has many callers, like we have here.
I agree on Chuck's range, I think he nailed it good as far as the low side of it, and I agree with him that you probably can get many of those hands ahead of you to fold to a shove and get the $70 in the pot, and coinflip against them if he calls (although I saw your coinflip-ometer is 0 for 11 this month ). The only problem with coinflipping is the one afoldem mentioned about some of your outs being dead, which is also the reason why I said that when there are callers in the pot before the 3bet, the all-in PF with AK might no longer be the preferred move. That is what I'm wondering. When a SH specialist like Bitel says he's happy to get it all-in PF with AK, I kind of wonder if it also applies to scenarios like this one, when the 3bet comes after 2 players have already flat called the raise making you suspect some of your outs are gone.
Combu, you mention ruset might be on tilt after losing a big pot the hand before. Are you worried about this going 3-way even if you shove? Even if that happens you'd be getting 2 to 1 with AK and seeing 5 cards, and that doesn't sound like a bad deal at all (again, except the fact you're 0 for your last 11 and some outs might be dead).
Last, I agree with Chuck's comments about flat calling being not a great play. But since you have position on the 3better, and odds are just about correct, does anyone consider looking at a flop rather than shoving?