Ultimate Bet No-Limit Hold'em, $0.10 BB (10 handed) FTR converter on zerodivide.cx

BB ($3.80)
UTG ($9.00)
UTG+1 ($5.25)
UTG+2 ($12.00)
MP1 ($6.75)
MP2 ($9.85)
Hero ($10.25)
CO ($4.55)
Button ($7.25)
SB ($17.40)

Preflop: Hero is MP3 with :Kd: :Qd:. SB posts a blind of $0.05.
1 fold, UTG+1 calls $0.10, 2 folds, MP2 calls $0.10, Hero calls $0.10, 1 fold, Button calls $0.10, SB (poster) calls $0.05, BB checks.

Flop: ($0.60) :Qc: :Th: (6 players)
SB checks, UTG+1 checks, MP2 checks, Hero bets $0.40, Button folds, SB calls $0.40, BB folds, UTG+1 folds, MP2 calls $0.40.

Turn: ($1.80) (3 players)
SB checks, MP2 checks, Hero bets $1.25, SB calls $1.25, MP2 folds.

River$4.30) (2 players)
SB checks, Hero bets $1.00, SB raises $7.00, ...

An interesting poker problem as this happens often enough. I rarely call these - at my level, the big river reraise means you are beat, in general.

Let's assume readless for the moment. Does anyone make this call?
If so, what do you put the SB on?