If you're gonna barrel the turn with a high frequency than you should bet more on the flop as long as you don't think his calling range will change significantly, and I doubt it will in this spot as long as you don't bet like $11.

idk what you're trying to do on the turn you need to bet bigger there with your whole range.

River is too thin imo unless you bet like $8 or some shit or you have a big history of trippling but I don't like betting small because we induce far too often.