PokerStars - $0.02 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

Hero (BTN): 114 BB
SB: 106 BB (VPIP: 15.00, PFR: 10.00, 3Bet Preflop: 0.00, Hands: 20)
BB: 100 BB
UTG: 150.5 BB (VPIP: 33.33, PFR: 29.63, 3Bet Preflop: 12.50, Hands: 28)
MP: 78.5 BB
CO: 111 BB (VPIP: 16.67, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 6)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has A J

fold, fold, fold, Hero raises to 3 BB, fold, BB calls 2 BB

Flop: (6.5 BB, 2 players) T 6 6
BB checks, Hero bets 2 BB, BB calls 2 BB

Turn: (10.5 BB, 2 players) 7
BB checks, Hero checks

River: (10.5 BB, 2 players) 3
BB bets 5 BB, fold

BB wins 10 BB

Here's the thing. Given my betsize on the flop, it feels like villain should have a lot of brodway type holdings. Should I be calling this river?

No, don't hero. It's wrong to think that just because you bet 1/3 they don't have anything.

Yeah it is wrong to think that they don't have anything just because you bet 1/3. That doesn't mean you shouldn't call AdJd here, clearly you have to call some A high hands vs this sizing. Whether AJ is good call is debatable, maybe you want A8 and A9 before AJ, AK and AQ are also reasonable

it's ok to call and your reasoning is on point

Why bet flop?

for the 2 reasons we bet or raise : make the pot bigger in case we win and denying equity

To keep it very simple - riverbet indicates some sort of value so we should fold.

No need to bet this flop. Just check it down.

He calls our minberlt with many hands that are ahead of us..do we want to make this pot bigger?

no

To be honest, this 1/3 pot size bet on the flop might be a bit of fancy play syndrom by me.

I know it's very standard for many mid/high stakes pro to use very small bet sizes on very dry flops with 100% of their ranges. The benefits are that I extract value from very weak holdings, protect my equity/buff for a very cheap price and allow villain to go to the turn with a very weak range. Considering a kind of tight defending range for BB of 17.5%, Equilab says villain has 23.5% of nothing and I have 23.5% odds on my bet. If a standard micro villain is defending an even wider range than that I have an extremely profitable bet here don't I? I mean, if the average villain is overfolding why give them the opportunity to see a turn an outdraw me when I'm already making money by betting 100% of my range.

Problem is I always get confused about what to do on different turns, which holding to pick to bluff, especially when I don't improve. Thinking more carefully I now think that I should be using this hand to bluff catch on the river as it's still quite high in my distribution, given that I'm betting 100% of my pre-flop range on that flop.

You should bet small on flops that hit your range. This one doesn't.