If you remember the hand I posted last week, here is a simular (near exact) situation where I did bet the turn and river in a HU pre pot and bet three streets. I did keep in mind that if villain would've raised my valuebets I was willing to fold.

Poker Stars $3.00+$0.30 No Limit Hold'em Tournament – t20/t40 Blinds – 9 players
TournamentPokerEdge.com Hand History Converter

Hero (CO): t5840 146 BBs
echidna555 (BTN): t5425 135.62 BBs
1zegri1 (SB): t2255 56.38 BBs
IgorYar76rus (BB): t3350 83.75 BBs
Ronie22 (UTG): t2875 71.88 BBs
*MR.LARSSON* (UTG+1): t3130 78.25 BBs
Bennsen23 (UTG+2): t3617 90.42 BBs
SenorRisto (MP1): t4998 124.95 BBs
gopo88 (MP2): t3060 76.50 BBs

Pre Flop: (t60) Hero is CO with Q A
5 folds, Hero raises to t120, echidna555 calls t120, 2 folds

Flop: (t300) 2 A 9 (2 players)
Hero bets t180, echidna555 calls t180

Turn: (t660) 4 (2 players)
Hero bets t330, echidna555 calls t330

River: (t1320) Q (2 players)
Hero bets t720, echidna555 ?