77 Flopped bottom set line check

From my first ever session of 6-max

Party Poker
No Limit Holdem Ring game
Blinds: $0.25/$0.50
6 players
Converter

Stack sizes:
UTG: $107.93
UTG+1: $56.65
CO: $72
Button: $9.40
Hero: $53.10
BB: $16.25

Pre-flop: (6 players) Hero is SB with 7 7
UTG raises to $1, 3 folds, Hero calls, BB calls.

Flop: 7 J 8 ($3, 3 players)
Hero bets $3, BB folds, UTG calls.

Turn: A ($9, 2 players)
Hero bets $6, UTG calls.

River: 3 ($21, 2 players)
Hero checks, UTG bets $9, Hero calls.

Results:
Final pot: $39

bet more on turn, but otherwise its fine

NH. But as Gabe said, just pot the turn

nh, turn is fine IMO

I am torn about turn bet size.

8 or A of spades gives him the flush and us a boat, and if 1/2 pot is the most we lose when we bet $6 on turn, then maybe small bet isn't so bad. He just barely is getting implied odds (~5:1) unless you are calling $20 or more. $9 on turn makes him make a bigger mistake, but he might fold which is not really good.

betting $9 on the turn makes the pot on the river that much bigger