NWI NL 1/2
Friday afternoon game. 3 regs. Mostly a full table. The other guys I don't really know (thank God). Game is tight and passive. Hero has been there an hour and has $175 after buying in for $200. Hero has whiffed on several flops. Raises are between 8 and 15. Villain has $300. He's a 25 yo BG wearing shades and a hoodie. His VPIP is about 50. His thing is to bet when checked to. I've seen him twice before and my impression was that he's pretty aggro.
UTG+1 is a 50 yo truck driver and tournament player. He's a good guy. He's been there all night and has $600. He likes to see flops. SB is unknown to Hero. 35 yo WG. He got stacked once and now has 100 or so.
Hero is UTG with KK
Hero makes it 12. I either raise 12 or 15 when I open a pot and my goal is not to make my raises reflective of what hand I have. I avoid 8 or 10.
UTG+1 calls.
It folds to SB who calls and BB who calls.
Pot $48
Flop
444
Hero has a boat and the third nuts at this point. Hero wants to build a pot and bets $30.
All three players call. Pot $168
Turn 5
SB checks, BB checks, Hero checks...bad decision? My goal was to get it all in here thinking that the other 3 guys had smaller pairs. Was this bad thinking? I'm not a snowflake. Critique me at will.
River 6
SB checks, BB bets $50
Hero shoves.
Is my play correct here? Thanks for the criticism and input in advance.

I'd go with the Zeebo Theorem that states that nobody can fold a FH. You have $143 left and the pot is $168. Just get it in on the turn.

That's what I went with here. Is your mind ever on a 4 from any of the players? Or is that MUBSY?

A4 suited or a small suited connectors (with a 4) is certainly possible in the live gamss I've played recently but I'm getting it in here. I'm more worried about pocket 5s or 6s than a 4 most of the time. I'd rather see a j or queen on the turn/river but if we somehow lose to a bigger full house or quads in this situation I'm paying them off. Too many hands that you crush. Shake it off and move on.

Thanks for the feedback. As played I got tilted by the hand, not by the result but by my friend who said, "you should have known someone had a four." I thought that was ridiculous and it was why I posted it. Very results oriented was his analysis I thought.