Full Tilt Poker $0.10/$0.25 No Limit Hold'em - 8 players
The Official 2+2 Hand Converter By DeucesCracked Poker Videos

SB: $38.44
BB: $13.85
UTG: $18.66
UTG+1: $25.29
MP1: $19.72
Hero (MP2): $25.35
CO: $4.46
BTN: $40.36

Pre Flop: ($0.35) Hero is MP2 with Q A
UTG calls $0.25, 2 folds, Hero raises to $1.10, 1 fold, BTN calls $1.10, 2 folds, UTG calls $0.85

Flop: ($3.65) 2 6 J (3 players)
UTG bets $0.25, Hero raises to $2.50, BTN calls $2.50, UTG folds

Turn: ($8.90) 3 (2 players)
Hero requests TIME, Hero bets $4.50, BTN raises to $36.76 all in, Hero requests TIME, Hero folds

I want to check my line here on the flop and turn.

Both villains are fishy over ~40 hand samples:
UTG is 46/6 and BTN is 36/5

I have seen BTN play aggressively in at least one postflop situation.

1. We flop great equity so I elect to raise the min lead hoping that BTN will 3b, at which point I'd be happy to get it in. At the very least, the raise may allow us to get heads up with UTG. Any comments on this?

2. On the turn, I don't like check/calling since I expect villain to fire at least one street. I don't like check/folding either because I think our over cards are frequently outs on the river too. Does b/f here seem reasonable?

As played turn is a fold, because after that shove you will only win if you hit your flush and you don't get the right price to call. I think the flop raise and the turn bet are fine.