Would you have folded this straight?

I would not fold, but then again, I would be unlikely to raise OTR with a straight on a paired board.

It is a really rough run-out, because the turn brings so much equity

We do not know the villain but I would raise PF. That gives me the betting lead postflop and based on villain stats and calling/ raising pf, I could put him on a better range. right now this is so wide. Do not forget that raising pf gives you the option to pick the pot before any cards are on board. Also villain can fold a lotf of hands like KJo which can beat us later. anyways, flop I would check back, because I believe villain has a lot of king in his range. However I cannot put him on AK. I mean he would have bet postflop because of the fact ott, the flush may complete.

All in all, I would not call an entire stack on this board. I would just call 10BB and not raising. Your hand has showdown value , and the problem arise when you start raising. Then your hand is not good if you face a 4bet which is your case. As played I would call 10BB and not raise. That is how I think however. I would be interested to see other ppl thought.

I concur. Only calling the river. It goes well with the passive line chosen on all previous rounds, you get some info about his CO range and still have some chance to have a best hand.
For me the folding after the allin depends very heavily on history with this player. But most probably fold is the best option. Reload and carry on

as played it's a fold for me on the river, unfortunately.
The key street here is the turn which gives us much more options (almost doubling our equity!).
I think that we could raise on the turn (but not just click it)
and we just call the river.