Pre - I agree, without reads, this is just a fold pre. fwiw, my readless classification of the V was that he was anything but tight and likely adjusting his range accordingly for it being folded to him in the CO - this being based solely on age, attire,stack, etc. I think 3b has to be the worst of the 3 options here, our hand is terrible in a 3b pot with or w/o position.
Post - pretty sure it is unanimous that flatting the flop is optimal.
Turn - This is a spot that I really disliked flatting, but also think folding is so exploitable. In retrospect, I think that this is a fold ... we are unknown to V and we probably should not expect him to barrel light/air too often without him knowing that we are capable of folding a hand like 77 here. Turn is also a card improves our range way more than his.
River - In game, when V checked, I felt gross checking back. With that said, as played up to the river... I think this is a super easy check back... When I bet I was betting for value vs hands like QQ-TT, but realistically these should not be in his range very often as he likely checks turn. Additionally, I think I was overly optimistic to expect to be called the times he does have worse hands - as noted my best guess was that he was at least competent.
How it played out ...