AK 4 handed and coldcalling the turn

[Mig]

wouldn't it be preferable to call the turn so SB call +1 BB and then raise the river for +1BB from the BB (total +2 BB more than calling/calling), or is it better to raise the turn and kick SB out of the pot and you only win 1 BB instead of 2 BB (maybe more if SB is dumb enough to call 2 BB on the turn with top pair)