I would too bet more on the turn. As said flush draws and overpairs will generally call, and it's better to have 1/2 to 2/3 pot left to shove on the river than an almost full pot sized bet. So the bet sizing on the turn can determine wether or not you're going to make 3$ more by the river.
If you'd made it $1,5 instead of $1 on the turn, you'd be pushing $2,7 into a $5,25 pot on the river instead of $3,2 into $4,25