Pretty deep stacked 2/5 NLH Live Game

Hero UTG 1,8K
Villain MP 2K

Hero opens to 20, villain 3-bets to 60, CO(weaker Reg 1,5K) flats, SB(old Lady 400-600) flats as well, Hero 4-bets to 240, villain 5-bets to 580, other Players fold.
Action back to Hero: With the Lady in the small blind beeing relatively short and villain not folding too much there, I will not have a 4-bet bluffing range here. Which means my 4-bet range is exactly AK, QQ+

So what do you guys think is the best approach vs his 5-bet? IMO there a two reasonable options:

1: flatting all hands - alltough SPR on flop is going to be around 1, I still feel like this Player type is going to make some costly mistakes….
2: 6-bet jam KK+ and AKs, folding QQ and AKo

...any other ideas on that spot are highly appreciated