gotta work on this line

Feral Cow Poker Hand Converter
Cereus No Limit Hold'em $0.10/$0.25 - 6 players

Button: $4.25
SB: $5.41
BB: $25.00
UTG: $28.70
UTG+1: $35.22 (Hero)
CO: $26.00

Preflop: ($0.35) Hero is UTG+1 with (6 players)
UTG folds, Hero raises to $0.75, 3 folds, BB calls $0.50

Flop: ($1.60) (2 players)
BB checks, Hero bets $1, BB calls $1

Turn: ($3.60) (2 players)
BB checks, Hero checks.

Sometimes I check the turn in this situations instead of double-barrelling. I have one pair with a mediocre kicker and I'm not willing to play for stacks with this hand. Checking the turn gives me pot control, and gives the villain the ability to bluff. Usually, as I check the turn, I'm thinking "I will call the river bet"...

River: ($3.60) (2 players)
BB bets $3.60, Hero calls $3.60

BB showed , One pair, tens
BB won $10.26
(Rake: $0.54)

The plan backfired this time. I let his 6 outer get there for free (not to mention the flush draw), and I lost a pretty big pot anyway because he made a full size pot bet. Of course, with this hand villain probably folds the turn, but my line works well most of the time that he has unpaired overcards. (he'll only hit a pair 12% of the time, and might bluff another 25-50%).

So am I making a mistake with this line, or is this is a good play that I got unlucky with?