min raising preflop is pretty bad, in general it gives odds for V to call in pretty much any situation with near 100% of his opening range. As played, you played it fine, ship the river all-in since most players don't like to fold a Full house no matter what and V an also put you on a busted FD even though you never show up with a busted FD here.
Lastly, just because you lose a hand doesn't mean you played it incorrectly.