For once, a hand with the absolute nuts. However my question on that River is, how big can I raise to extract a much value as possible, while maybe induce a shove by Villain?

I was afraid that shoving the River outright, so deep, might make Villain fold. So I decided to raise about 2.5x his bet to induce a possible reraise. I admit, though, that 50bb remaining behind when he called left a bad taste in my mouth... Would you have done different here? Would you have shoved?

May be a bit weird to ask that type of question when the hand is 100% won, but it is an occasion to improve value extraction.

And yes, I considered 3betting, but given that Villain is a total unknown and I give the benefit of the doubt to his UTG raise I decided to call and see a flop.

Thum rule in micro is not to slow play,and you didn't plan on doing that but also you didn't played the hand fast enough.
Pre is standard agaisnt unknown utg, there could be an argument about raising the flop with 12 outs to the nuts but villain is showing big strenth by betting into 3 opponents. That means at least KK which I beleive is even better than that. So there isn't much Fold Equity on your side otf.
Turn is when you have to play it fast and raise to a size that will leave a comfortable shove on the river. Set's aren't going anywhere. 2pairs either. And in 2NL pop I don't even think KK or AA goes anywhere.
So raise turn and leave a less than PSB on the river to give villain better than 2:1 .
Also remember if villain is aware and is capable of folding a set on this hand, turn is your last chance to extract value fron his draw to the boat.
So, raise turn IMO.

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shove river. I like flatting flop to keep worse flushes in multiway. Only other option to get money in would be to raise turn which I don't mind tbh get value from worse flushes/sets and set it up for a river shove

Pre is fine imo. Turn you should raise, the board hits villian range well and he is not going to throw away most of his made hands, you have a ton value from worse.

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raise turn, shove river.

I'm missing the reason why setting the trap OTT is bad. I like the strategy of calling whole range OTT. That way we can bomb raise river with nut flush and also when we have the A (in particular we'd probably be turning pair + A in bluff).